KILLED proof of input_OXYSwBXdJo.trs # AProVE Commit ID: 5b976082cb74a395683ed8cc7acf94bd611ab29f fuhs 20230524 unpublished The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). (0) CpxTRS (1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxTRS (3) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (4) CpxTRS (5) CpxTrsToCdtProof [UPPER BOUND(ID), 58 ms] (6) CdtProblem (7) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxRelTRS (9) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (10) CpxRelTRS (11) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (12) typed CpxTrs (13) OrderProof [LOWER BOUND(ID), 0 ms] (14) typed CpxTrs (15) RewriteLemmaProof [LOWER BOUND(ID), 2013 ms] (16) typed CpxTrs (17) RewriteLemmaProof [LOWER BOUND(ID), 132 ms] (18) typed CpxTrs (19) RewriteLemmaProof [LOWER BOUND(ID), 180 ms] (20) typed CpxTrs (21) RewriteLemmaProof [LOWER BOUND(ID), 2891 ms] (22) BEST (23) proven lower bound (24) LowerBoundPropagationProof [FINISHED, 0 ms] (25) BOUNDS(n^1, INF) (26) typed CpxTrs (27) RewriteLemmaProof [LOWER BOUND(ID), 5425 ms] (28) typed CpxTrs (29) RewriteLemmaProof [LOWER BOUND(ID), 2243 ms] (30) typed CpxTrs (31) RelTrsToWeightedTrsProof [UPPER BOUND(ID), 0 ms] (32) CpxWeightedTrs (33) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (34) CpxTypedWeightedTrs (35) CompletionProof [UPPER BOUND(ID), 0 ms] (36) CpxTypedWeightedCompleteTrs (37) NarrowingProof [BOTH BOUNDS(ID, ID), 28 ms] (38) CpxTypedWeightedCompleteTrs (39) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (40) CpxRNTS (41) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CpxRNTS (43) CompletionProof [UPPER BOUND(ID), 0 ms] (44) CpxTypedWeightedCompleteTrs (45) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (46) CpxRNTS (47) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms] (48) CdtProblem (49) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (50) CdtProblem (51) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (52) CpxRelTRS (53) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (54) CpxTRS (55) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (56) CpxWeightedTrs (57) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (58) CpxTypedWeightedTrs (59) CompletionProof [UPPER BOUND(ID), 0 ms] (60) CpxTypedWeightedCompleteTrs (61) NarrowingProof [BOTH BOUNDS(ID, ID), 994 ms] (62) CpxTypedWeightedCompleteTrs (63) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (64) CpxRNTS (65) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (66) CpxRNTS (67) CompletionProof [UPPER BOUND(ID), 0 ms] (68) CpxTypedWeightedCompleteTrs (69) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (70) CpxRNTS (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (72) CdtProblem (73) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (74) CdtProblem (75) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (76) CdtProblem (77) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (78) CdtProblem (79) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (80) CdtProblem (81) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (82) CdtProblem (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (84) CdtProblem (85) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 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) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (94) CdtProblem (95) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (96) CdtProblem (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 25 ms] (98) CdtProblem (99) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (100) CdtProblem (101) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (102) CdtProblem (103) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (104) CdtProblem (105) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (106) CdtProblem (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (108) CdtProblem (109) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 6 ms] (110) CdtProblem (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (112) CdtProblem (113) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (114) CdtProblem (115) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (116) CdtProblem (117) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (118) CdtProblem (119) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (120) CdtProblem (121) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (122) CdtProblem (123) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (124) CdtProblem (125) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 4 ms] (126) CdtProblem (127) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (128) CdtProblem (129) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (130) CdtProblem (131) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (132) CdtProblem (133) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (134) CdtProblem (135) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (136) CdtProblem (137) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (138) CdtProblem (139) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4 ms] (140) CdtProblem (141) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (142) CdtProblem (143) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (144) CdtProblem (145) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (146) CdtProblem (147) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (148) CdtProblem (149) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (150) CdtProblem (151) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 22 ms] (152) CdtProblem (153) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (154) CdtProblem (155) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (156) CdtProblem (157) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (158) CdtProblem (159) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (160) CdtProblem (161) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (162) CdtProblem (163) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (164) CdtProblem (165) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (166) CdtProblem (167) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (168) CdtProblem (169) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (170) CdtProblem (171) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4 ms] (172) CdtProblem (173) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (174) CdtProblem (175) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 16 ms] (176) CdtProblem (177) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (178) CdtProblem (179) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (180) CdtProblem (181) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (182) CdtProblem (183) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 54 ms] (184) CdtProblem (185) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (186) CdtProblem (187) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 29 ms] (188) CdtProblem (189) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 10 ms] (190) CdtProblem (191) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 22 ms] (192) CdtProblem (193) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (194) CdtProblem (195) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 46 ms] (196) CdtProblem (197) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (198) CdtProblem (199) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 26 ms] (200) CdtProblem (201) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (202) CdtProblem (203) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 132 ms] (204) CdtProblem (205) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (206) CdtProblem (207) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 123 ms] (208) CdtProblem (209) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 28 ms] (210) CdtProblem (211) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 125 ms] (212) CdtProblem (213) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 5 ms] (214) CdtProblem (215) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 123 ms] (216) CdtProblem (217) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 107 ms] (218) CdtProblem (219) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 7 ms] (220) CdtProblem (221) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 202 ms] (222) CdtProblem (223) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 30 ms] (224) CdtProblem (225) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 185 ms] (226) CdtProblem (227) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (228) CdtProblem (229) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 171 ms] (230) CdtProblem (231) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 29 ms] (232) CdtProblem (233) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 98 ms] (234) CdtProblem (235) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (236) CdtProblem (237) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 126 ms] (238) CdtProblem (239) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 50 ms] (240) CdtProblem (241) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 199 ms] (242) CdtProblem (243) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 39 ms] (244) CdtProblem ---------------------------------------- (0) Obligation: The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: a__fib(N) -> a__sel(mark(N), a__fib1(s(0), s(0))) a__fib1(X, Y) -> cons(mark(X), fib1(Y, add(X, Y))) a__add(0, X) -> mark(X) a__add(s(X), Y) -> s(a__add(mark(X), mark(Y))) a__sel(0, cons(X, XS)) -> mark(X) a__sel(s(N), cons(X, XS)) -> a__sel(mark(N), mark(XS)) mark(fib(X)) -> a__fib(mark(X)) mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) mark(fib1(X1, X2)) -> a__fib1(mark(X1), mark(X2)) mark(add(X1, X2)) -> a__add(mark(X1), mark(X2)) mark(s(X)) -> s(mark(X)) mark(0) -> 0 mark(cons(X1, X2)) -> cons(mark(X1), X2) a__fib(X) -> fib(X) a__sel(X1, X2) -> sel(X1, X2) a__fib1(X1, X2) -> fib1(X1, X2) a__add(X1, X2) -> add(X1, X2) S is empty. Rewrite Strategy: PARALLEL_INNERMOST ---------------------------------------- (1) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (2) Obligation: The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: a__fib(N) -> a__sel(mark(N), a__fib1(s(0'), s(0'))) a__fib1(X, Y) -> cons(mark(X), fib1(Y, add(X, Y))) a__add(0', X) -> mark(X) a__add(s(X), Y) -> s(a__add(mark(X), mark(Y))) a__sel(0', cons(X, XS)) -> mark(X) a__sel(s(N), cons(X, XS)) -> a__sel(mark(N), mark(XS)) mark(fib(X)) -> a__fib(mark(X)) mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) mark(fib1(X1, X2)) -> a__fib1(mark(X1), mark(X2)) mark(add(X1, X2)) -> a__add(mark(X1), mark(X2)) mark(s(X)) -> s(mark(X)) mark(0') -> 0' mark(cons(X1, X2)) -> cons(mark(X1), X2) a__fib(X) -> fib(X) a__sel(X1, X2) -> sel(X1, X2) a__fib1(X1, X2) -> fib1(X1, X2) a__add(X1, X2) -> add(X1, X2) S is empty. Rewrite Strategy: PARALLEL_INNERMOST ---------------------------------------- (3) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (4) Obligation: The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: a__fib(N) -> a__sel(mark(N), a__fib1(s(0), s(0))) a__fib1(X, Y) -> cons(mark(X), fib1(Y, add(X, Y))) a__add(0, X) -> mark(X) a__add(s(X), Y) -> s(a__add(mark(X), mark(Y))) a__sel(0, cons(X, XS)) -> mark(X) a__sel(s(N), cons(X, XS)) -> a__sel(mark(N), mark(XS)) mark(fib(X)) -> a__fib(mark(X)) mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) mark(fib1(X1, X2)) -> a__fib1(mark(X1), mark(X2)) mark(add(X1, X2)) -> a__add(mark(X1), mark(X2)) mark(s(X)) -> s(mark(X)) mark(0) -> 0 mark(cons(X1, X2)) -> cons(mark(X1), X2) a__fib(X) -> fib(X) a__sel(X1, X2) -> sel(X1, X2) a__fib1(X1, X2) -> fib1(X1, X2) a__add(X1, X2) -> add(X1, X2) S is empty. Rewrite Strategy: PARALLEL_INNERMOST ---------------------------------------- (5) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (6) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0), s(0))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(z0) -> c2 A__FIB1(z0, z1) -> c3(MARK(z0)) A__FIB1(z0, z1) -> c4 A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__ADD(z0, z1) -> c8 A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c12 MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(0) -> c21 MARK(cons(z0, z1)) -> c22(MARK(z0)) S tuples: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0), s(0))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(z0) -> c2 A__FIB1(z0, z1) -> c3(MARK(z0)) A__FIB1(z0, z1) -> c4 A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__ADD(z0, z1) -> c8 A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c12 MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(0) -> c21 MARK(cons(z0, z1)) -> c22(MARK(z0)) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB_1, A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1 Compound Symbols: c_2, c1_2, c2, c3_1, c4, c5_1, c6_2, c7_2, c8, c9_1, c10_2, c11_2, c12, c13_2, c14_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c21, c22_1 ---------------------------------------- (7) CdtToCpxRelTrsProof (BOTH BOUNDS(ID, ID)) Converted S to standard rules, and D \ S as well as R to relative rules. ---------------------------------------- (8) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0), s(0))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(z0) -> c2 A__FIB1(z0, z1) -> c3(MARK(z0)) A__FIB1(z0, z1) -> c4 A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__ADD(z0, z1) -> c8 A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c12 MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(0) -> c21 MARK(cons(z0, z1)) -> c22(MARK(z0)) The (relative) TRS S consists of the following rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Rewrite Strategy: INNERMOST ---------------------------------------- (9) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (10) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), A__FIB1(s(0'), s(0'))) A__FIB(z0) -> c2 A__FIB1(z0, z1) -> c3(MARK(z0)) A__FIB1(z0, z1) -> c4 A__ADD(0', z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__ADD(z0, z1) -> c8 A__SEL(0', cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c12 MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(0') -> c21 MARK(cons(z0, z1)) -> c22(MARK(z0)) The (relative) TRS S consists of the following rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0'), s(0'))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0', z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0', cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0') -> 0' mark(cons(z0, z1)) -> cons(mark(z0), z1) Rewrite Strategy: INNERMOST ---------------------------------------- (11) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Inferred types. ---------------------------------------- (12) Obligation: Innermost TRS: Rules: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), A__FIB1(s(0'), s(0'))) A__FIB(z0) -> c2 A__FIB1(z0, z1) -> c3(MARK(z0)) A__FIB1(z0, z1) -> c4 A__ADD(0', z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__ADD(z0, z1) -> c8 A__SEL(0', cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c12 MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(0') -> c21 MARK(cons(z0, z1)) -> c22(MARK(z0)) a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0'), s(0'))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0', z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0', cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0') -> 0' mark(cons(z0, z1)) -> cons(mark(z0), z1) Types: A__FIB :: 0':s:cons:fib:sel:fib1:add -> c:c1:c2 c :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c:c1:c2 A__SEL :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c9:c10:c11:c12 mark :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add s :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add 0' :: 0':s:cons:fib:sel:fib1:add MARK :: 0':s:cons:fib:sel:fib1:add -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c1 :: c9:c10:c11:c12 -> c3:c4 -> c:c1:c2 A__FIB1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c3:c4 c2 :: c:c1:c2 c3 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c3:c4 c4 :: c3:c4 A__ADD :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c5:c6:c7:c8 c5 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c6 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c7 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c8 :: c5:c6:c7:c8 cons :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c9 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c10 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c11 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c12 :: c9:c10:c11:c12 fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c13 :: c:c1:c2 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c14 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c15 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c16 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c17 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c18 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c19 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c20 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c21 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c22 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 a__fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add hole_c:c1:c21_23 :: c:c1:c2 hole_0':s:cons:fib:sel:fib1:add2_23 :: 0':s:cons:fib:sel:fib1:add hole_c9:c10:c11:c123_23 :: c9:c10:c11:c12 hole_c13:c14:c15:c16:c17:c18:c19:c20:c21:c224_23 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 hole_c3:c45_23 :: c3:c4 hole_c5:c6:c7:c86_23 :: c5:c6:c7:c8 gen_0':s:cons:fib:sel:fib1:add7_23 :: Nat -> 0':s:cons:fib:sel:fib1:add gen_c9:c10:c11:c128_23 :: Nat -> c9:c10:c11:c12 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23 :: Nat -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 gen_c5:c6:c7:c810_23 :: Nat -> c5:c6:c7:c8 ---------------------------------------- (13) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: A__FIB, A__SEL, mark, a__fib1, MARK, A__FIB1, A__ADD, a__fib, a__sel, a__add They will be analysed ascendingly in the following order: A__FIB = A__SEL mark < A__FIB a__fib1 < A__FIB A__FIB = MARK A__FIB = A__FIB1 A__FIB = A__ADD mark < A__SEL A__SEL = MARK A__SEL = A__FIB1 A__SEL = A__ADD mark = a__fib1 mark < MARK mark < A__ADD mark = a__fib mark = a__sel mark = a__add a__fib1 = a__fib a__fib1 = a__sel a__fib1 = a__add MARK = A__FIB1 MARK = A__ADD A__FIB1 = A__ADD a__fib = a__sel a__fib = a__add a__sel = a__add ---------------------------------------- (14) Obligation: Innermost TRS: Rules: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), A__FIB1(s(0'), s(0'))) A__FIB(z0) -> c2 A__FIB1(z0, z1) -> c3(MARK(z0)) A__FIB1(z0, z1) -> c4 A__ADD(0', z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__ADD(z0, z1) -> c8 A__SEL(0', cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c12 MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(0') -> c21 MARK(cons(z0, z1)) -> c22(MARK(z0)) a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0'), s(0'))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0', z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0', cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0') -> 0' mark(cons(z0, z1)) -> cons(mark(z0), z1) Types: A__FIB :: 0':s:cons:fib:sel:fib1:add -> c:c1:c2 c :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c:c1:c2 A__SEL :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c9:c10:c11:c12 mark :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add s :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add 0' :: 0':s:cons:fib:sel:fib1:add MARK :: 0':s:cons:fib:sel:fib1:add -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c1 :: c9:c10:c11:c12 -> c3:c4 -> c:c1:c2 A__FIB1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c3:c4 c2 :: c:c1:c2 c3 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c3:c4 c4 :: c3:c4 A__ADD :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c5:c6:c7:c8 c5 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c6 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c7 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c8 :: c5:c6:c7:c8 cons :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c9 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c10 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c11 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c12 :: c9:c10:c11:c12 fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c13 :: c:c1:c2 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c14 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c15 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c16 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c17 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c18 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c19 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c20 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c21 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c22 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 a__fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add hole_c:c1:c21_23 :: c:c1:c2 hole_0':s:cons:fib:sel:fib1:add2_23 :: 0':s:cons:fib:sel:fib1:add hole_c9:c10:c11:c123_23 :: c9:c10:c11:c12 hole_c13:c14:c15:c16:c17:c18:c19:c20:c21:c224_23 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 hole_c3:c45_23 :: c3:c4 hole_c5:c6:c7:c86_23 :: c5:c6:c7:c8 gen_0':s:cons:fib:sel:fib1:add7_23 :: Nat -> 0':s:cons:fib:sel:fib1:add gen_c9:c10:c11:c128_23 :: Nat -> c9:c10:c11:c12 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23 :: Nat -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 gen_c5:c6:c7:c810_23 :: Nat -> c5:c6:c7:c8 Generator Equations: gen_0':s:cons:fib:sel:fib1:add7_23(0) <=> 0' gen_0':s:cons:fib:sel:fib1:add7_23(+(x, 1)) <=> s(gen_0':s:cons:fib:sel:fib1:add7_23(x)) gen_c9:c10:c11:c128_23(0) <=> c9(c21) gen_c9:c10:c11:c128_23(+(x, 1)) <=> c10(gen_c9:c10:c11:c128_23(x), c21) gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(0) <=> c21 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(+(x, 1)) <=> c13(c(c9(c21), c21), gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(x)) gen_c5:c6:c7:c810_23(0) <=> c5(c21) gen_c5:c6:c7:c810_23(+(x, 1)) <=> c6(gen_c5:c6:c7:c810_23(x), c21) The following defined symbols remain to be analysed: a__fib, A__FIB, A__SEL, mark, a__fib1, MARK, A__FIB1, A__ADD, a__sel, a__add They will be analysed ascendingly in the following order: A__FIB = A__SEL mark < A__FIB a__fib1 < A__FIB A__FIB = MARK A__FIB = A__FIB1 A__FIB = A__ADD mark < A__SEL A__SEL = MARK A__SEL = A__FIB1 A__SEL = A__ADD mark = a__fib1 mark < MARK mark < A__ADD mark = a__fib mark = a__sel mark = a__add a__fib1 = a__fib a__fib1 = a__sel a__fib1 = a__add MARK = A__FIB1 MARK = A__ADD A__FIB1 = A__ADD a__fib = a__sel a__fib = a__add a__sel = a__add ---------------------------------------- (15) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: mark(gen_0':s:cons:fib:sel:fib1:add7_23(n320779_23)) -> gen_0':s:cons:fib:sel:fib1:add7_23(n320779_23), rt in Omega(0) Induction Base: mark(gen_0':s:cons:fib:sel:fib1:add7_23(0)) ->_R^Omega(0) 0' Induction Step: mark(gen_0':s:cons:fib:sel:fib1:add7_23(+(n320779_23, 1))) ->_R^Omega(0) s(mark(gen_0':s:cons:fib:sel:fib1:add7_23(n320779_23))) ->_IH s(gen_0':s:cons:fib:sel:fib1:add7_23(c320780_23)) We have rt in Omega(1) and sz in O(n). Thus, we have irc_R in Omega(n^0). ---------------------------------------- (16) Obligation: Innermost TRS: Rules: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), A__FIB1(s(0'), s(0'))) A__FIB(z0) -> c2 A__FIB1(z0, z1) -> c3(MARK(z0)) A__FIB1(z0, z1) -> c4 A__ADD(0', z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__ADD(z0, z1) -> c8 A__SEL(0', cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c12 MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(0') -> c21 MARK(cons(z0, z1)) -> c22(MARK(z0)) a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0'), s(0'))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0', z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0', cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0') -> 0' mark(cons(z0, z1)) -> cons(mark(z0), z1) Types: A__FIB :: 0':s:cons:fib:sel:fib1:add -> c:c1:c2 c :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c:c1:c2 A__SEL :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c9:c10:c11:c12 mark :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add s :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add 0' :: 0':s:cons:fib:sel:fib1:add MARK :: 0':s:cons:fib:sel:fib1:add -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c1 :: c9:c10:c11:c12 -> c3:c4 -> c:c1:c2 A__FIB1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c3:c4 c2 :: c:c1:c2 c3 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c3:c4 c4 :: c3:c4 A__ADD :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c5:c6:c7:c8 c5 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c6 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c7 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c8 :: c5:c6:c7:c8 cons :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c9 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c10 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c11 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c12 :: c9:c10:c11:c12 fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c13 :: c:c1:c2 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c14 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c15 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c16 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c17 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c18 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c19 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c20 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c21 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c22 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 a__fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add hole_c:c1:c21_23 :: c:c1:c2 hole_0':s:cons:fib:sel:fib1:add2_23 :: 0':s:cons:fib:sel:fib1:add hole_c9:c10:c11:c123_23 :: c9:c10:c11:c12 hole_c13:c14:c15:c16:c17:c18:c19:c20:c21:c224_23 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 hole_c3:c45_23 :: c3:c4 hole_c5:c6:c7:c86_23 :: c5:c6:c7:c8 gen_0':s:cons:fib:sel:fib1:add7_23 :: Nat -> 0':s:cons:fib:sel:fib1:add gen_c9:c10:c11:c128_23 :: Nat -> c9:c10:c11:c12 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23 :: Nat -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 gen_c5:c6:c7:c810_23 :: Nat -> c5:c6:c7:c8 Lemmas: mark(gen_0':s:cons:fib:sel:fib1:add7_23(n320779_23)) -> gen_0':s:cons:fib:sel:fib1:add7_23(n320779_23), rt in Omega(0) Generator Equations: gen_0':s:cons:fib:sel:fib1:add7_23(0) <=> 0' gen_0':s:cons:fib:sel:fib1:add7_23(+(x, 1)) <=> s(gen_0':s:cons:fib:sel:fib1:add7_23(x)) gen_c9:c10:c11:c128_23(0) <=> c9(c21) gen_c9:c10:c11:c128_23(+(x, 1)) <=> c10(gen_c9:c10:c11:c128_23(x), c21) gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(0) <=> c21 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(+(x, 1)) <=> c13(c(c9(c21), c21), gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(x)) gen_c5:c6:c7:c810_23(0) <=> c5(c21) gen_c5:c6:c7:c810_23(+(x, 1)) <=> c6(gen_c5:c6:c7:c810_23(x), c21) The following defined symbols remain to be analysed: a__fib1, A__FIB, A__SEL, MARK, A__FIB1, A__ADD, a__fib, a__sel, a__add They will be analysed ascendingly in the following order: A__FIB = A__SEL mark < A__FIB a__fib1 < A__FIB A__FIB = MARK A__FIB = A__FIB1 A__FIB = A__ADD mark < A__SEL A__SEL = MARK A__SEL = A__FIB1 A__SEL = A__ADD mark = a__fib1 mark < MARK mark < A__ADD mark = a__fib mark = a__sel mark = a__add a__fib1 = a__fib a__fib1 = a__sel a__fib1 = a__add MARK = A__FIB1 MARK = A__ADD A__FIB1 = A__ADD a__fib = a__sel a__fib = a__add a__sel = a__add ---------------------------------------- (17) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: a__add(gen_0':s:cons:fib:sel:fib1:add7_23(n325806_23), gen_0':s:cons:fib:sel:fib1:add7_23(b)) -> gen_0':s:cons:fib:sel:fib1:add7_23(+(n325806_23, b)), rt in Omega(0) Induction Base: a__add(gen_0':s:cons:fib:sel:fib1:add7_23(0), gen_0':s:cons:fib:sel:fib1:add7_23(b)) ->_R^Omega(0) mark(gen_0':s:cons:fib:sel:fib1:add7_23(b)) ->_L^Omega(0) gen_0':s:cons:fib:sel:fib1:add7_23(b) Induction Step: a__add(gen_0':s:cons:fib:sel:fib1:add7_23(+(n325806_23, 1)), gen_0':s:cons:fib:sel:fib1:add7_23(b)) ->_R^Omega(0) s(a__add(mark(gen_0':s:cons:fib:sel:fib1:add7_23(n325806_23)), mark(gen_0':s:cons:fib:sel:fib1:add7_23(b)))) ->_L^Omega(0) s(a__add(gen_0':s:cons:fib:sel:fib1:add7_23(n325806_23), mark(gen_0':s:cons:fib:sel:fib1:add7_23(b)))) ->_L^Omega(0) s(a__add(gen_0':s:cons:fib:sel:fib1:add7_23(n325806_23), gen_0':s:cons:fib:sel:fib1:add7_23(b))) ->_IH s(gen_0':s:cons:fib:sel:fib1:add7_23(+(b, c325807_23))) We have rt in Omega(1) and sz in O(n). Thus, we have irc_R in Omega(n^0). ---------------------------------------- (18) Obligation: Innermost TRS: Rules: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), A__FIB1(s(0'), s(0'))) A__FIB(z0) -> c2 A__FIB1(z0, z1) -> c3(MARK(z0)) A__FIB1(z0, z1) -> c4 A__ADD(0', z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__ADD(z0, z1) -> c8 A__SEL(0', cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c12 MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(0') -> c21 MARK(cons(z0, z1)) -> c22(MARK(z0)) a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0'), s(0'))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0', z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0', cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0') -> 0' mark(cons(z0, z1)) -> cons(mark(z0), z1) Types: A__FIB :: 0':s:cons:fib:sel:fib1:add -> c:c1:c2 c :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c:c1:c2 A__SEL :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c9:c10:c11:c12 mark :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add s :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add 0' :: 0':s:cons:fib:sel:fib1:add MARK :: 0':s:cons:fib:sel:fib1:add -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c1 :: c9:c10:c11:c12 -> c3:c4 -> c:c1:c2 A__FIB1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c3:c4 c2 :: c:c1:c2 c3 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c3:c4 c4 :: c3:c4 A__ADD :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c5:c6:c7:c8 c5 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c6 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c7 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c8 :: c5:c6:c7:c8 cons :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c9 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c10 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c11 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c12 :: c9:c10:c11:c12 fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c13 :: c:c1:c2 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c14 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c15 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c16 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c17 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c18 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c19 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c20 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c21 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c22 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 a__fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add hole_c:c1:c21_23 :: c:c1:c2 hole_0':s:cons:fib:sel:fib1:add2_23 :: 0':s:cons:fib:sel:fib1:add hole_c9:c10:c11:c123_23 :: c9:c10:c11:c12 hole_c13:c14:c15:c16:c17:c18:c19:c20:c21:c224_23 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 hole_c3:c45_23 :: c3:c4 hole_c5:c6:c7:c86_23 :: c5:c6:c7:c8 gen_0':s:cons:fib:sel:fib1:add7_23 :: Nat -> 0':s:cons:fib:sel:fib1:add gen_c9:c10:c11:c128_23 :: Nat -> c9:c10:c11:c12 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23 :: Nat -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 gen_c5:c6:c7:c810_23 :: Nat -> c5:c6:c7:c8 Lemmas: mark(gen_0':s:cons:fib:sel:fib1:add7_23(n320779_23)) -> gen_0':s:cons:fib:sel:fib1:add7_23(n320779_23), rt in Omega(0) a__add(gen_0':s:cons:fib:sel:fib1:add7_23(n325806_23), gen_0':s:cons:fib:sel:fib1:add7_23(b)) -> gen_0':s:cons:fib:sel:fib1:add7_23(+(n325806_23, b)), rt in Omega(0) Generator Equations: gen_0':s:cons:fib:sel:fib1:add7_23(0) <=> 0' gen_0':s:cons:fib:sel:fib1:add7_23(+(x, 1)) <=> s(gen_0':s:cons:fib:sel:fib1:add7_23(x)) gen_c9:c10:c11:c128_23(0) <=> c9(c21) gen_c9:c10:c11:c128_23(+(x, 1)) <=> c10(gen_c9:c10:c11:c128_23(x), c21) gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(0) <=> c21 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(+(x, 1)) <=> c13(c(c9(c21), c21), gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(x)) gen_c5:c6:c7:c810_23(0) <=> c5(c21) gen_c5:c6:c7:c810_23(+(x, 1)) <=> c6(gen_c5:c6:c7:c810_23(x), c21) The following defined symbols remain to be analysed: a__fib, A__FIB, A__SEL, mark, a__fib1, MARK, A__FIB1, A__ADD, a__sel They will be analysed ascendingly in the following order: A__FIB = A__SEL mark < A__FIB a__fib1 < A__FIB A__FIB = MARK A__FIB = A__FIB1 A__FIB = A__ADD mark < A__SEL A__SEL = MARK A__SEL = A__FIB1 A__SEL = A__ADD mark = a__fib1 mark < MARK mark < A__ADD mark = a__fib mark = a__sel mark = a__add a__fib1 = a__fib a__fib1 = a__sel a__fib1 = a__add MARK = A__FIB1 MARK = A__ADD A__FIB1 = A__ADD a__fib = a__sel a__fib = a__add a__sel = a__add ---------------------------------------- (19) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: mark(gen_0':s:cons:fib:sel:fib1:add7_23(n328869_23)) -> gen_0':s:cons:fib:sel:fib1:add7_23(n328869_23), rt in Omega(0) Induction Base: mark(gen_0':s:cons:fib:sel:fib1:add7_23(0)) ->_R^Omega(0) 0' Induction Step: mark(gen_0':s:cons:fib:sel:fib1:add7_23(+(n328869_23, 1))) ->_R^Omega(0) s(mark(gen_0':s:cons:fib:sel:fib1:add7_23(n328869_23))) ->_IH s(gen_0':s:cons:fib:sel:fib1:add7_23(c328870_23)) We have rt in Omega(1) and sz in O(n). Thus, we have irc_R in Omega(n^0). ---------------------------------------- (20) Obligation: Innermost TRS: Rules: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), A__FIB1(s(0'), s(0'))) A__FIB(z0) -> c2 A__FIB1(z0, z1) -> c3(MARK(z0)) A__FIB1(z0, z1) -> c4 A__ADD(0', z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__ADD(z0, z1) -> c8 A__SEL(0', cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c12 MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(0') -> c21 MARK(cons(z0, z1)) -> c22(MARK(z0)) a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0'), s(0'))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0', z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0', cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0') -> 0' mark(cons(z0, z1)) -> cons(mark(z0), z1) Types: A__FIB :: 0':s:cons:fib:sel:fib1:add -> c:c1:c2 c :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c:c1:c2 A__SEL :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c9:c10:c11:c12 mark :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add s :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add 0' :: 0':s:cons:fib:sel:fib1:add MARK :: 0':s:cons:fib:sel:fib1:add -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c1 :: c9:c10:c11:c12 -> c3:c4 -> c:c1:c2 A__FIB1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c3:c4 c2 :: c:c1:c2 c3 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c3:c4 c4 :: c3:c4 A__ADD :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c5:c6:c7:c8 c5 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c6 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c7 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c8 :: c5:c6:c7:c8 cons :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c9 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c10 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c11 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c12 :: c9:c10:c11:c12 fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c13 :: c:c1:c2 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c14 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c15 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c16 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c17 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c18 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c19 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c20 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c21 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c22 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 a__fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add hole_c:c1:c21_23 :: c:c1:c2 hole_0':s:cons:fib:sel:fib1:add2_23 :: 0':s:cons:fib:sel:fib1:add hole_c9:c10:c11:c123_23 :: c9:c10:c11:c12 hole_c13:c14:c15:c16:c17:c18:c19:c20:c21:c224_23 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 hole_c3:c45_23 :: c3:c4 hole_c5:c6:c7:c86_23 :: c5:c6:c7:c8 gen_0':s:cons:fib:sel:fib1:add7_23 :: Nat -> 0':s:cons:fib:sel:fib1:add gen_c9:c10:c11:c128_23 :: Nat -> c9:c10:c11:c12 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23 :: Nat -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 gen_c5:c6:c7:c810_23 :: Nat -> c5:c6:c7:c8 Lemmas: mark(gen_0':s:cons:fib:sel:fib1:add7_23(n328869_23)) -> gen_0':s:cons:fib:sel:fib1:add7_23(n328869_23), rt in Omega(0) a__add(gen_0':s:cons:fib:sel:fib1:add7_23(n325806_23), gen_0':s:cons:fib:sel:fib1:add7_23(b)) -> gen_0':s:cons:fib:sel:fib1:add7_23(+(n325806_23, b)), rt in Omega(0) Generator Equations: gen_0':s:cons:fib:sel:fib1:add7_23(0) <=> 0' gen_0':s:cons:fib:sel:fib1:add7_23(+(x, 1)) <=> s(gen_0':s:cons:fib:sel:fib1:add7_23(x)) gen_c9:c10:c11:c128_23(0) <=> c9(c21) gen_c9:c10:c11:c128_23(+(x, 1)) <=> c10(gen_c9:c10:c11:c128_23(x), c21) gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(0) <=> c21 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(+(x, 1)) <=> c13(c(c9(c21), c21), gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(x)) gen_c5:c6:c7:c810_23(0) <=> c5(c21) gen_c5:c6:c7:c810_23(+(x, 1)) <=> c6(gen_c5:c6:c7:c810_23(x), c21) The following defined symbols remain to be analysed: a__fib1, A__FIB, A__SEL, MARK, A__FIB1, A__ADD They will be analysed ascendingly in the following order: A__FIB = A__SEL mark < A__FIB a__fib1 < A__FIB A__FIB = MARK A__FIB = A__FIB1 A__FIB = A__ADD mark < A__SEL A__SEL = MARK A__SEL = A__FIB1 A__SEL = A__ADD mark = a__fib1 mark < MARK mark < A__ADD mark = a__fib mark = a__sel mark = a__add a__fib1 = a__fib a__fib1 = a__sel a__fib1 = a__add MARK = A__FIB1 MARK = A__ADD A__FIB1 = A__ADD a__fib = a__sel a__fib = a__add a__sel = a__add ---------------------------------------- (21) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: MARK(gen_0':s:cons:fib:sel:fib1:add7_23(+(1, n333943_23))) -> *11_23, rt in Omega(n333943_23) Induction Base: MARK(gen_0':s:cons:fib:sel:fib1:add7_23(+(1, 0))) Induction Step: MARK(gen_0':s:cons:fib:sel:fib1:add7_23(+(1, +(n333943_23, 1)))) ->_R^Omega(1) c20(MARK(gen_0':s:cons:fib:sel:fib1:add7_23(+(1, n333943_23)))) ->_IH c20(*11_23) We have rt in Omega(n^1) and sz in O(n). Thus, we have irc_R in Omega(n). ---------------------------------------- (22) Complex Obligation (BEST) ---------------------------------------- (23) Obligation: Proved the lower bound n^1 for the following obligation: Innermost TRS: Rules: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), A__FIB1(s(0'), s(0'))) A__FIB(z0) -> c2 A__FIB1(z0, z1) -> c3(MARK(z0)) A__FIB1(z0, z1) -> c4 A__ADD(0', z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__ADD(z0, z1) -> c8 A__SEL(0', cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c12 MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(0') -> c21 MARK(cons(z0, z1)) -> c22(MARK(z0)) a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0'), s(0'))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0', z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0', cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0') -> 0' mark(cons(z0, z1)) -> cons(mark(z0), z1) Types: A__FIB :: 0':s:cons:fib:sel:fib1:add -> c:c1:c2 c :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c:c1:c2 A__SEL :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c9:c10:c11:c12 mark :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add s :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add 0' :: 0':s:cons:fib:sel:fib1:add MARK :: 0':s:cons:fib:sel:fib1:add -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c1 :: c9:c10:c11:c12 -> c3:c4 -> c:c1:c2 A__FIB1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c3:c4 c2 :: c:c1:c2 c3 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c3:c4 c4 :: c3:c4 A__ADD :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c5:c6:c7:c8 c5 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c6 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c7 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c8 :: c5:c6:c7:c8 cons :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c9 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c10 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c11 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c12 :: c9:c10:c11:c12 fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c13 :: c:c1:c2 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c14 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c15 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c16 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c17 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c18 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c19 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c20 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c21 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c22 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 a__fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add hole_c:c1:c21_23 :: c:c1:c2 hole_0':s:cons:fib:sel:fib1:add2_23 :: 0':s:cons:fib:sel:fib1:add hole_c9:c10:c11:c123_23 :: c9:c10:c11:c12 hole_c13:c14:c15:c16:c17:c18:c19:c20:c21:c224_23 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 hole_c3:c45_23 :: c3:c4 hole_c5:c6:c7:c86_23 :: c5:c6:c7:c8 gen_0':s:cons:fib:sel:fib1:add7_23 :: Nat -> 0':s:cons:fib:sel:fib1:add gen_c9:c10:c11:c128_23 :: Nat -> c9:c10:c11:c12 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23 :: Nat -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 gen_c5:c6:c7:c810_23 :: Nat -> c5:c6:c7:c8 Lemmas: mark(gen_0':s:cons:fib:sel:fib1:add7_23(n328869_23)) -> gen_0':s:cons:fib:sel:fib1:add7_23(n328869_23), rt in Omega(0) a__add(gen_0':s:cons:fib:sel:fib1:add7_23(n325806_23), gen_0':s:cons:fib:sel:fib1:add7_23(b)) -> gen_0':s:cons:fib:sel:fib1:add7_23(+(n325806_23, b)), rt in Omega(0) Generator Equations: gen_0':s:cons:fib:sel:fib1:add7_23(0) <=> 0' gen_0':s:cons:fib:sel:fib1:add7_23(+(x, 1)) <=> s(gen_0':s:cons:fib:sel:fib1:add7_23(x)) gen_c9:c10:c11:c128_23(0) <=> c9(c21) gen_c9:c10:c11:c128_23(+(x, 1)) <=> c10(gen_c9:c10:c11:c128_23(x), c21) gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(0) <=> c21 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(+(x, 1)) <=> c13(c(c9(c21), c21), gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(x)) gen_c5:c6:c7:c810_23(0) <=> c5(c21) gen_c5:c6:c7:c810_23(+(x, 1)) <=> c6(gen_c5:c6:c7:c810_23(x), c21) The following defined symbols remain to be analysed: MARK, A__FIB, A__FIB1, A__ADD They will be analysed ascendingly in the following order: A__FIB = A__SEL A__FIB = MARK A__FIB = A__FIB1 A__FIB = A__ADD A__SEL = MARK A__SEL = A__FIB1 A__SEL = A__ADD MARK = A__FIB1 MARK = A__ADD A__FIB1 = A__ADD ---------------------------------------- (24) LowerBoundPropagationProof (FINISHED) Propagated lower bound. ---------------------------------------- (25) BOUNDS(n^1, INF) ---------------------------------------- (26) Obligation: Innermost TRS: Rules: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), A__FIB1(s(0'), s(0'))) A__FIB(z0) -> c2 A__FIB1(z0, z1) -> c3(MARK(z0)) A__FIB1(z0, z1) -> c4 A__ADD(0', z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__ADD(z0, z1) -> c8 A__SEL(0', cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c12 MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(0') -> c21 MARK(cons(z0, z1)) -> c22(MARK(z0)) a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0'), s(0'))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0', z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0', cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0') -> 0' mark(cons(z0, z1)) -> cons(mark(z0), z1) Types: A__FIB :: 0':s:cons:fib:sel:fib1:add -> c:c1:c2 c :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c:c1:c2 A__SEL :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c9:c10:c11:c12 mark :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add s :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add 0' :: 0':s:cons:fib:sel:fib1:add MARK :: 0':s:cons:fib:sel:fib1:add -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c1 :: c9:c10:c11:c12 -> c3:c4 -> c:c1:c2 A__FIB1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c3:c4 c2 :: c:c1:c2 c3 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c3:c4 c4 :: c3:c4 A__ADD :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c5:c6:c7:c8 c5 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c6 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c7 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c8 :: c5:c6:c7:c8 cons :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c9 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c10 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c11 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c12 :: c9:c10:c11:c12 fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c13 :: c:c1:c2 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c14 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c15 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c16 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c17 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c18 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c19 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c20 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c21 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c22 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 a__fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add hole_c:c1:c21_23 :: c:c1:c2 hole_0':s:cons:fib:sel:fib1:add2_23 :: 0':s:cons:fib:sel:fib1:add hole_c9:c10:c11:c123_23 :: c9:c10:c11:c12 hole_c13:c14:c15:c16:c17:c18:c19:c20:c21:c224_23 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 hole_c3:c45_23 :: c3:c4 hole_c5:c6:c7:c86_23 :: c5:c6:c7:c8 gen_0':s:cons:fib:sel:fib1:add7_23 :: Nat -> 0':s:cons:fib:sel:fib1:add gen_c9:c10:c11:c128_23 :: Nat -> c9:c10:c11:c12 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23 :: Nat -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 gen_c5:c6:c7:c810_23 :: Nat -> c5:c6:c7:c8 Lemmas: mark(gen_0':s:cons:fib:sel:fib1:add7_23(n328869_23)) -> gen_0':s:cons:fib:sel:fib1:add7_23(n328869_23), rt in Omega(0) a__add(gen_0':s:cons:fib:sel:fib1:add7_23(n325806_23), gen_0':s:cons:fib:sel:fib1:add7_23(b)) -> gen_0':s:cons:fib:sel:fib1:add7_23(+(n325806_23, b)), rt in Omega(0) MARK(gen_0':s:cons:fib:sel:fib1:add7_23(+(1, n333943_23))) -> *11_23, rt in Omega(n333943_23) Generator Equations: gen_0':s:cons:fib:sel:fib1:add7_23(0) <=> 0' gen_0':s:cons:fib:sel:fib1:add7_23(+(x, 1)) <=> s(gen_0':s:cons:fib:sel:fib1:add7_23(x)) gen_c9:c10:c11:c128_23(0) <=> c9(c21) gen_c9:c10:c11:c128_23(+(x, 1)) <=> c10(gen_c9:c10:c11:c128_23(x), c21) gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(0) <=> c21 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(+(x, 1)) <=> c13(c(c9(c21), c21), gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(x)) gen_c5:c6:c7:c810_23(0) <=> c5(c21) gen_c5:c6:c7:c810_23(+(x, 1)) <=> c6(gen_c5:c6:c7:c810_23(x), c21) The following defined symbols remain to be analysed: A__FIB, A__SEL, A__FIB1, A__ADD They will be analysed ascendingly in the following order: A__FIB = A__SEL A__FIB = MARK A__FIB = A__FIB1 A__FIB = A__ADD A__SEL = MARK A__SEL = A__FIB1 A__SEL = A__ADD MARK = A__FIB1 MARK = A__ADD A__FIB1 = A__ADD ---------------------------------------- (27) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: A__ADD(gen_0':s:cons:fib:sel:fib1:add7_23(n601364_23), gen_0':s:cons:fib:sel:fib1:add7_23(b)) -> *11_23, rt in Omega(n601364_23) Induction Base: A__ADD(gen_0':s:cons:fib:sel:fib1:add7_23(0), gen_0':s:cons:fib:sel:fib1:add7_23(b)) Induction Step: A__ADD(gen_0':s:cons:fib:sel:fib1:add7_23(+(n601364_23, 1)), gen_0':s:cons:fib:sel:fib1:add7_23(b)) ->_R^Omega(1) c6(A__ADD(mark(gen_0':s:cons:fib:sel:fib1:add7_23(n601364_23)), mark(gen_0':s:cons:fib:sel:fib1:add7_23(b))), MARK(gen_0':s:cons:fib:sel:fib1:add7_23(n601364_23))) ->_L^Omega(0) c6(A__ADD(gen_0':s:cons:fib:sel:fib1:add7_23(n601364_23), mark(gen_0':s:cons:fib:sel:fib1:add7_23(b))), MARK(gen_0':s:cons:fib:sel:fib1:add7_23(n601364_23))) ->_L^Omega(0) c6(A__ADD(gen_0':s:cons:fib:sel:fib1:add7_23(n601364_23), gen_0':s:cons:fib:sel:fib1:add7_23(b)), MARK(gen_0':s:cons:fib:sel:fib1:add7_23(n601364_23))) ->_IH c6(*11_23, MARK(gen_0':s:cons:fib:sel:fib1:add7_23(n601364_23))) We have rt in Omega(n^1) and sz in O(n). Thus, we have irc_R in Omega(n). ---------------------------------------- (28) Obligation: Innermost TRS: Rules: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), A__FIB1(s(0'), s(0'))) A__FIB(z0) -> c2 A__FIB1(z0, z1) -> c3(MARK(z0)) A__FIB1(z0, z1) -> c4 A__ADD(0', z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__ADD(z0, z1) -> c8 A__SEL(0', cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c12 MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(0') -> c21 MARK(cons(z0, z1)) -> c22(MARK(z0)) a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0'), s(0'))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0', z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0', cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0') -> 0' mark(cons(z0, z1)) -> cons(mark(z0), z1) Types: A__FIB :: 0':s:cons:fib:sel:fib1:add -> c:c1:c2 c :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c:c1:c2 A__SEL :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c9:c10:c11:c12 mark :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add s :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add 0' :: 0':s:cons:fib:sel:fib1:add MARK :: 0':s:cons:fib:sel:fib1:add -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c1 :: c9:c10:c11:c12 -> c3:c4 -> c:c1:c2 A__FIB1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c3:c4 c2 :: c:c1:c2 c3 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c3:c4 c4 :: c3:c4 A__ADD :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c5:c6:c7:c8 c5 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c6 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c7 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c8 :: c5:c6:c7:c8 cons :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c9 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c10 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c11 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c12 :: c9:c10:c11:c12 fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c13 :: c:c1:c2 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c14 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c15 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c16 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c17 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c18 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c19 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c20 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c21 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c22 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 a__fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add hole_c:c1:c21_23 :: c:c1:c2 hole_0':s:cons:fib:sel:fib1:add2_23 :: 0':s:cons:fib:sel:fib1:add hole_c9:c10:c11:c123_23 :: c9:c10:c11:c12 hole_c13:c14:c15:c16:c17:c18:c19:c20:c21:c224_23 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 hole_c3:c45_23 :: c3:c4 hole_c5:c6:c7:c86_23 :: c5:c6:c7:c8 gen_0':s:cons:fib:sel:fib1:add7_23 :: Nat -> 0':s:cons:fib:sel:fib1:add gen_c9:c10:c11:c128_23 :: Nat -> c9:c10:c11:c12 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23 :: Nat -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 gen_c5:c6:c7:c810_23 :: Nat -> c5:c6:c7:c8 Lemmas: mark(gen_0':s:cons:fib:sel:fib1:add7_23(n328869_23)) -> gen_0':s:cons:fib:sel:fib1:add7_23(n328869_23), rt in Omega(0) a__add(gen_0':s:cons:fib:sel:fib1:add7_23(n325806_23), gen_0':s:cons:fib:sel:fib1:add7_23(b)) -> gen_0':s:cons:fib:sel:fib1:add7_23(+(n325806_23, b)), rt in Omega(0) MARK(gen_0':s:cons:fib:sel:fib1:add7_23(+(1, n333943_23))) -> *11_23, rt in Omega(n333943_23) A__ADD(gen_0':s:cons:fib:sel:fib1:add7_23(n601364_23), gen_0':s:cons:fib:sel:fib1:add7_23(b)) -> *11_23, rt in Omega(n601364_23) Generator Equations: gen_0':s:cons:fib:sel:fib1:add7_23(0) <=> 0' gen_0':s:cons:fib:sel:fib1:add7_23(+(x, 1)) <=> s(gen_0':s:cons:fib:sel:fib1:add7_23(x)) gen_c9:c10:c11:c128_23(0) <=> c9(c21) gen_c9:c10:c11:c128_23(+(x, 1)) <=> c10(gen_c9:c10:c11:c128_23(x), c21) gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(0) <=> c21 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(+(x, 1)) <=> c13(c(c9(c21), c21), gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(x)) gen_c5:c6:c7:c810_23(0) <=> c5(c21) gen_c5:c6:c7:c810_23(+(x, 1)) <=> c6(gen_c5:c6:c7:c810_23(x), c21) The following defined symbols remain to be analysed: A__SEL, A__FIB, MARK, A__FIB1 They will be analysed ascendingly in the following order: A__FIB = A__SEL A__FIB = MARK A__FIB = A__FIB1 A__FIB = A__ADD A__SEL = MARK A__SEL = A__FIB1 A__SEL = A__ADD MARK = A__FIB1 MARK = A__ADD A__FIB1 = A__ADD ---------------------------------------- (29) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: MARK(gen_0':s:cons:fib:sel:fib1:add7_23(+(1, n976191_23))) -> *11_23, rt in Omega(n976191_23) Induction Base: MARK(gen_0':s:cons:fib:sel:fib1:add7_23(+(1, 0))) Induction Step: MARK(gen_0':s:cons:fib:sel:fib1:add7_23(+(1, +(n976191_23, 1)))) ->_R^Omega(1) c20(MARK(gen_0':s:cons:fib:sel:fib1:add7_23(+(1, n976191_23)))) ->_IH c20(*11_23) We have rt in Omega(n^1) and sz in O(n). Thus, we have irc_R in Omega(n). ---------------------------------------- (30) Obligation: Innermost TRS: Rules: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0'), s(0'))), A__FIB1(s(0'), s(0'))) A__FIB(z0) -> c2 A__FIB1(z0, z1) -> c3(MARK(z0)) A__FIB1(z0, z1) -> c4 A__ADD(0', z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__ADD(z0, z1) -> c8 A__SEL(0', cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c12 MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(0') -> c21 MARK(cons(z0, z1)) -> c22(MARK(z0)) a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0'), s(0'))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0', z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0', cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0') -> 0' mark(cons(z0, z1)) -> cons(mark(z0), z1) Types: A__FIB :: 0':s:cons:fib:sel:fib1:add -> c:c1:c2 c :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c:c1:c2 A__SEL :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c9:c10:c11:c12 mark :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add s :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add 0' :: 0':s:cons:fib:sel:fib1:add MARK :: 0':s:cons:fib:sel:fib1:add -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c1 :: c9:c10:c11:c12 -> c3:c4 -> c:c1:c2 A__FIB1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c3:c4 c2 :: c:c1:c2 c3 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c3:c4 c4 :: c3:c4 A__ADD :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> c5:c6:c7:c8 c5 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c6 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c7 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c5:c6:c7:c8 c8 :: c5:c6:c7:c8 cons :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c9 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c10 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c11 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c9:c10:c11:c12 c12 :: c9:c10:c11:c12 fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c13 :: c:c1:c2 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c14 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c15 :: c9:c10:c11:c12 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 fib1 :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c16 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c17 :: c3:c4 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add c18 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c19 :: c5:c6:c7:c8 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c20 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c21 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 c22 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 a__fib :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__sel :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add a__add :: 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add -> 0':s:cons:fib:sel:fib1:add hole_c:c1:c21_23 :: c:c1:c2 hole_0':s:cons:fib:sel:fib1:add2_23 :: 0':s:cons:fib:sel:fib1:add hole_c9:c10:c11:c123_23 :: c9:c10:c11:c12 hole_c13:c14:c15:c16:c17:c18:c19:c20:c21:c224_23 :: c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 hole_c3:c45_23 :: c3:c4 hole_c5:c6:c7:c86_23 :: c5:c6:c7:c8 gen_0':s:cons:fib:sel:fib1:add7_23 :: Nat -> 0':s:cons:fib:sel:fib1:add gen_c9:c10:c11:c128_23 :: Nat -> c9:c10:c11:c12 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23 :: Nat -> c13:c14:c15:c16:c17:c18:c19:c20:c21:c22 gen_c5:c6:c7:c810_23 :: Nat -> c5:c6:c7:c8 Lemmas: mark(gen_0':s:cons:fib:sel:fib1:add7_23(n328869_23)) -> gen_0':s:cons:fib:sel:fib1:add7_23(n328869_23), rt in Omega(0) a__add(gen_0':s:cons:fib:sel:fib1:add7_23(n325806_23), gen_0':s:cons:fib:sel:fib1:add7_23(b)) -> gen_0':s:cons:fib:sel:fib1:add7_23(+(n325806_23, b)), rt in Omega(0) MARK(gen_0':s:cons:fib:sel:fib1:add7_23(+(1, n976191_23))) -> *11_23, rt in Omega(n976191_23) A__ADD(gen_0':s:cons:fib:sel:fib1:add7_23(n601364_23), gen_0':s:cons:fib:sel:fib1:add7_23(b)) -> *11_23, rt in Omega(n601364_23) Generator Equations: gen_0':s:cons:fib:sel:fib1:add7_23(0) <=> 0' gen_0':s:cons:fib:sel:fib1:add7_23(+(x, 1)) <=> s(gen_0':s:cons:fib:sel:fib1:add7_23(x)) gen_c9:c10:c11:c128_23(0) <=> c9(c21) gen_c9:c10:c11:c128_23(+(x, 1)) <=> c10(gen_c9:c10:c11:c128_23(x), c21) gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(0) <=> c21 gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(+(x, 1)) <=> c13(c(c9(c21), c21), gen_c13:c14:c15:c16:c17:c18:c19:c20:c21:c229_23(x)) gen_c5:c6:c7:c810_23(0) <=> c5(c21) gen_c5:c6:c7:c810_23(+(x, 1)) <=> c6(gen_c5:c6:c7:c810_23(x), c21) The following defined symbols remain to be analysed: A__FIB, A__FIB1 They will be analysed ascendingly in the following order: A__FIB = A__SEL A__FIB = MARK A__FIB = A__FIB1 A__FIB = A__ADD A__SEL = MARK A__SEL = A__FIB1 A__SEL = A__ADD MARK = A__FIB1 MARK = A__ADD A__FIB1 = A__ADD ---------------------------------------- (31) RelTrsToWeightedTrsProof (UPPER BOUND(ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (32) 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: a__fib(N) -> a__sel(mark(N), a__fib1(s(0), s(0))) [1] a__fib1(X, Y) -> cons(mark(X), fib1(Y, add(X, Y))) [1] a__add(0, X) -> mark(X) [1] a__add(s(X), Y) -> s(a__add(mark(X), mark(Y))) [1] a__sel(0, cons(X, XS)) -> mark(X) [1] a__sel(s(N), cons(X, XS)) -> a__sel(mark(N), mark(XS)) [1] mark(fib(X)) -> a__fib(mark(X)) [1] mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) [1] mark(fib1(X1, X2)) -> a__fib1(mark(X1), mark(X2)) [1] mark(add(X1, X2)) -> a__add(mark(X1), mark(X2)) [1] mark(s(X)) -> s(mark(X)) [1] mark(0) -> 0 [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] a__fib(X) -> fib(X) [1] a__sel(X1, X2) -> sel(X1, X2) [1] a__fib1(X1, X2) -> fib1(X1, X2) [1] a__add(X1, X2) -> add(X1, X2) [1] Rewrite Strategy: INNERMOST ---------------------------------------- (33) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (34) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: a__fib(N) -> a__sel(mark(N), a__fib1(s(0), s(0))) [1] a__fib1(X, Y) -> cons(mark(X), fib1(Y, add(X, Y))) [1] a__add(0, X) -> mark(X) [1] a__add(s(X), Y) -> s(a__add(mark(X), mark(Y))) [1] a__sel(0, cons(X, XS)) -> mark(X) [1] a__sel(s(N), cons(X, XS)) -> a__sel(mark(N), mark(XS)) [1] mark(fib(X)) -> a__fib(mark(X)) [1] mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) [1] mark(fib1(X1, X2)) -> a__fib1(mark(X1), mark(X2)) [1] mark(add(X1, X2)) -> a__add(mark(X1), mark(X2)) [1] mark(s(X)) -> s(mark(X)) [1] mark(0) -> 0 [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] a__fib(X) -> fib(X) [1] a__sel(X1, X2) -> sel(X1, X2) [1] a__fib1(X1, X2) -> fib1(X1, X2) [1] a__add(X1, X2) -> add(X1, X2) [1] The TRS has the following type information: a__fib :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel a__sel :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel mark :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel a__fib1 :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel s :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel 0 :: 0:s:add:fib1:cons:fib:sel cons :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel fib1 :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel add :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel a__add :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel fib :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel sel :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel Rewrite Strategy: INNERMOST ---------------------------------------- (35) 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: mark_1 a__fib1_2 a__fib_1 a__add_2 a__sel_2 Due to the following rules being added: none And the following fresh constants: none ---------------------------------------- (36) 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: a__fib(N) -> a__sel(mark(N), a__fib1(s(0), s(0))) [1] a__fib1(X, Y) -> cons(mark(X), fib1(Y, add(X, Y))) [1] a__add(0, X) -> mark(X) [1] a__add(s(X), Y) -> s(a__add(mark(X), mark(Y))) [1] a__sel(0, cons(X, XS)) -> mark(X) [1] a__sel(s(N), cons(X, XS)) -> a__sel(mark(N), mark(XS)) [1] mark(fib(X)) -> a__fib(mark(X)) [1] mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) [1] mark(fib1(X1, X2)) -> a__fib1(mark(X1), mark(X2)) [1] mark(add(X1, X2)) -> a__add(mark(X1), mark(X2)) [1] mark(s(X)) -> s(mark(X)) [1] mark(0) -> 0 [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] a__fib(X) -> fib(X) [1] a__sel(X1, X2) -> sel(X1, X2) [1] a__fib1(X1, X2) -> fib1(X1, X2) [1] a__add(X1, X2) -> add(X1, X2) [1] The TRS has the following type information: a__fib :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel a__sel :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel mark :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel a__fib1 :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel s :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel 0 :: 0:s:add:fib1:cons:fib:sel cons :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel fib1 :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel add :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel a__add :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel fib :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel sel :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel Rewrite Strategy: INNERMOST ---------------------------------------- (37) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (38) 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: a__fib(fib(X')) -> a__sel(a__fib(mark(X')), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))) [3] a__fib(fib(X')) -> a__sel(a__fib(mark(X')), fib1(s(0), s(0))) [3] a__fib(sel(X1', X2')) -> a__sel(a__sel(mark(X1'), mark(X2')), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))) [3] a__fib(sel(X1', X2')) -> a__sel(a__sel(mark(X1'), mark(X2')), fib1(s(0), s(0))) [3] a__fib(fib1(X1'', X2'')) -> a__sel(a__fib1(mark(X1''), mark(X2'')), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))) [3] a__fib(fib1(X1'', X2'')) -> a__sel(a__fib1(mark(X1''), mark(X2'')), fib1(s(0), s(0))) [3] a__fib(add(X11, X21)) -> a__sel(a__add(mark(X11), mark(X21)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))) [3] a__fib(add(X11, X21)) -> a__sel(a__add(mark(X11), mark(X21)), fib1(s(0), s(0))) [3] a__fib(s(X'')) -> a__sel(s(mark(X'')), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))) [3] a__fib(s(X'')) -> a__sel(s(mark(X'')), fib1(s(0), s(0))) [3] a__fib(0) -> a__sel(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))) [3] a__fib(0) -> a__sel(0, fib1(s(0), s(0))) [3] a__fib(cons(X12, X22)) -> a__sel(cons(mark(X12), X22), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))) [3] a__fib(cons(X12, X22)) -> a__sel(cons(mark(X12), X22), fib1(s(0), s(0))) [3] a__fib1(X, Y) -> cons(mark(X), fib1(Y, add(X, Y))) [1] a__add(0, X) -> mark(X) [1] a__add(s(X), Y) -> s(a__add(mark(X), mark(Y))) [1] a__sel(0, cons(X, XS)) -> mark(X) [1] a__sel(s(N), cons(X, XS)) -> a__sel(mark(N), mark(XS)) [1] mark(fib(fib(X53))) -> a__fib(a__fib(mark(X53))) [2] mark(fib(sel(X167, X267))) -> a__fib(a__sel(mark(X167), mark(X267))) [2] mark(fib(fib1(X168, X268))) -> a__fib(a__fib1(mark(X168), mark(X268))) [2] mark(fib(add(X169, X269))) -> a__fib(a__add(mark(X169), mark(X269))) [2] mark(fib(s(X54))) -> a__fib(s(mark(X54))) [2] mark(fib(0)) -> a__fib(0) [2] mark(fib(cons(X170, X270))) -> a__fib(cons(mark(X170), X270)) [2] mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) [1] mark(fib1(X1, X2)) -> a__fib1(mark(X1), mark(X2)) [1] mark(add(X1, X2)) -> a__add(mark(X1), mark(X2)) [1] mark(s(X)) -> s(mark(X)) [1] mark(0) -> 0 [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] a__fib(X) -> fib(X) [1] a__sel(X1, X2) -> sel(X1, X2) [1] a__fib1(X1, X2) -> fib1(X1, X2) [1] a__add(X1, X2) -> add(X1, X2) [1] The TRS has the following type information: a__fib :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel a__sel :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel mark :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel a__fib1 :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel s :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel 0 :: 0:s:add:fib1:cons:fib:sel cons :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel fib1 :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel add :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel a__add :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel fib :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel sel :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel Rewrite Strategy: INNERMOST ---------------------------------------- (39) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: 0 => 0 ---------------------------------------- (40) Obligation: Complexity RNTS consisting of the following rules: a__add(z, z') -{ 1 }-> mark(X) :|: z' = X, X >= 0, z = 0 a__add(z, z') -{ 1 }-> 1 + a__add(mark(X), mark(Y)) :|: z = 1 + X, z' = Y, Y >= 0, X >= 0 a__add(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__fib(z) -{ 3 }-> a__sel(a__sel(mark(X1'), mark(X2')), 1 + mark(1 + 0) + (1 + (1 + 0) + (1 + (1 + 0) + (1 + 0)))) :|: X2' >= 0, X1' >= 0, z = 1 + X1' + X2' a__fib(z) -{ 3 }-> a__sel(a__sel(mark(X1'), mark(X2')), 1 + (1 + 0) + (1 + 0)) :|: X2' >= 0, X1' >= 0, z = 1 + X1' + X2' a__fib(z) -{ 3 }-> a__sel(a__fib1(mark(X1''), mark(X2'')), 1 + mark(1 + 0) + (1 + (1 + 0) + (1 + (1 + 0) + (1 + 0)))) :|: X1'' >= 0, z = 1 + X1'' + X2'', X2'' >= 0 a__fib(z) -{ 3 }-> a__sel(a__fib1(mark(X1''), mark(X2'')), 1 + (1 + 0) + (1 + 0)) :|: X1'' >= 0, z = 1 + X1'' + X2'', X2'' >= 0 a__fib(z) -{ 3 }-> a__sel(a__fib(mark(X')), 1 + mark(1 + 0) + (1 + (1 + 0) + (1 + (1 + 0) + (1 + 0)))) :|: X' >= 0, z = 1 + X' a__fib(z) -{ 3 }-> a__sel(a__fib(mark(X')), 1 + (1 + 0) + (1 + 0)) :|: X' >= 0, z = 1 + X' a__fib(z) -{ 3 }-> a__sel(a__add(mark(X11), mark(X21)), 1 + mark(1 + 0) + (1 + (1 + 0) + (1 + (1 + 0) + (1 + 0)))) :|: X11 >= 0, X21 >= 0, z = 1 + X11 + X21 a__fib(z) -{ 3 }-> a__sel(a__add(mark(X11), mark(X21)), 1 + (1 + 0) + (1 + 0)) :|: X11 >= 0, X21 >= 0, z = 1 + X11 + X21 a__fib(z) -{ 3 }-> a__sel(0, 1 + mark(1 + 0) + (1 + (1 + 0) + (1 + (1 + 0) + (1 + 0)))) :|: z = 0 a__fib(z) -{ 3 }-> a__sel(0, 1 + (1 + 0) + (1 + 0)) :|: z = 0 a__fib(z) -{ 3 }-> a__sel(1 + mark(X''), 1 + mark(1 + 0) + (1 + (1 + 0) + (1 + (1 + 0) + (1 + 0)))) :|: z = 1 + X'', X'' >= 0 a__fib(z) -{ 3 }-> a__sel(1 + mark(X''), 1 + (1 + 0) + (1 + 0)) :|: z = 1 + X'', X'' >= 0 a__fib(z) -{ 3 }-> a__sel(1 + mark(X12) + X22, 1 + mark(1 + 0) + (1 + (1 + 0) + (1 + (1 + 0) + (1 + 0)))) :|: X12 >= 0, X22 >= 0, z = 1 + X12 + X22 a__fib(z) -{ 3 }-> a__sel(1 + mark(X12) + X22, 1 + (1 + 0) + (1 + 0)) :|: X12 >= 0, X22 >= 0, z = 1 + X12 + X22 a__fib(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__fib1(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__fib1(z, z') -{ 1 }-> 1 + mark(X) + (1 + Y + (1 + X + Y)) :|: z' = Y, Y >= 0, X >= 0, z = X a__sel(z, z') -{ 1 }-> mark(X) :|: z' = 1 + X + XS, X >= 0, z = 0, XS >= 0 a__sel(z, z') -{ 1 }-> a__sel(mark(N), mark(XS)) :|: z = 1 + N, z' = 1 + X + XS, X >= 0, XS >= 0, N >= 0 a__sel(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 mark(z) -{ 1 }-> a__sel(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__fib1(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> a__fib(a__sel(mark(X167), mark(X267))) :|: z = 1 + (1 + X167 + X267), X267 >= 0, X167 >= 0 mark(z) -{ 2 }-> a__fib(a__fib1(mark(X168), mark(X268))) :|: X168 >= 0, X268 >= 0, z = 1 + (1 + X168 + X268) mark(z) -{ 2 }-> a__fib(a__fib(mark(X53))) :|: z = 1 + (1 + X53), X53 >= 0 mark(z) -{ 2 }-> a__fib(a__add(mark(X169), mark(X269))) :|: X269 >= 0, X169 >= 0, z = 1 + (1 + X169 + X269) mark(z) -{ 2 }-> a__fib(0) :|: z = 1 + 0 mark(z) -{ 2 }-> a__fib(1 + mark(X54)) :|: z = 1 + (1 + X54), X54 >= 0 mark(z) -{ 2 }-> a__fib(1 + mark(X170) + X270) :|: z = 1 + (1 + X170 + X270), X170 >= 0, X270 >= 0 mark(z) -{ 1 }-> a__add(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + mark(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> 1 + mark(X1) + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 ---------------------------------------- (41) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (42) Obligation: Complexity RNTS consisting of the following rules: a__add(z, z') -{ 1 }-> mark(z') :|: z' >= 0, z = 0 a__add(z, z') -{ 1 }-> 1 + a__add(mark(z - 1), mark(z')) :|: z' >= 0, z - 1 >= 0 a__add(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__fib(z) -{ 3 }-> a__sel(a__sel(mark(X1'), mark(X2')), 1 + mark(1 + 0) + (1 + (1 + 0) + (1 + (1 + 0) + (1 + 0)))) :|: X2' >= 0, X1' >= 0, z = 1 + X1' + X2' a__fib(z) -{ 3 }-> a__sel(a__sel(mark(X1'), mark(X2')), 1 + (1 + 0) + (1 + 0)) :|: X2' >= 0, X1' >= 0, z = 1 + X1' + X2' a__fib(z) -{ 3 }-> a__sel(a__fib1(mark(X1''), mark(X2'')), 1 + mark(1 + 0) + (1 + (1 + 0) + (1 + (1 + 0) + (1 + 0)))) :|: X1'' >= 0, z = 1 + X1'' + X2'', X2'' >= 0 a__fib(z) -{ 3 }-> a__sel(a__fib1(mark(X1''), mark(X2'')), 1 + (1 + 0) + (1 + 0)) :|: X1'' >= 0, z = 1 + X1'' + X2'', X2'' >= 0 a__fib(z) -{ 3 }-> a__sel(a__fib(mark(z - 1)), 1 + mark(1 + 0) + (1 + (1 + 0) + (1 + (1 + 0) + (1 + 0)))) :|: z - 1 >= 0 a__fib(z) -{ 3 }-> a__sel(a__fib(mark(z - 1)), 1 + (1 + 0) + (1 + 0)) :|: z - 1 >= 0 a__fib(z) -{ 3 }-> a__sel(a__add(mark(X11), mark(X21)), 1 + mark(1 + 0) + (1 + (1 + 0) + (1 + (1 + 0) + (1 + 0)))) :|: X11 >= 0, X21 >= 0, z = 1 + X11 + X21 a__fib(z) -{ 3 }-> a__sel(a__add(mark(X11), mark(X21)), 1 + (1 + 0) + (1 + 0)) :|: X11 >= 0, X21 >= 0, z = 1 + X11 + X21 a__fib(z) -{ 3 }-> a__sel(0, 1 + mark(1 + 0) + (1 + (1 + 0) + (1 + (1 + 0) + (1 + 0)))) :|: z = 0 a__fib(z) -{ 3 }-> a__sel(0, 1 + (1 + 0) + (1 + 0)) :|: z = 0 a__fib(z) -{ 3 }-> a__sel(1 + mark(z - 1), 1 + mark(1 + 0) + (1 + (1 + 0) + (1 + (1 + 0) + (1 + 0)))) :|: z - 1 >= 0 a__fib(z) -{ 3 }-> a__sel(1 + mark(z - 1), 1 + (1 + 0) + (1 + 0)) :|: z - 1 >= 0 a__fib(z) -{ 3 }-> a__sel(1 + mark(X12) + X22, 1 + mark(1 + 0) + (1 + (1 + 0) + (1 + (1 + 0) + (1 + 0)))) :|: X12 >= 0, X22 >= 0, z = 1 + X12 + X22 a__fib(z) -{ 3 }-> a__sel(1 + mark(X12) + X22, 1 + (1 + 0) + (1 + 0)) :|: X12 >= 0, X22 >= 0, z = 1 + X12 + X22 a__fib(z) -{ 1 }-> 1 + z :|: z >= 0 a__fib1(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__fib1(z, z') -{ 1 }-> 1 + mark(z) + (1 + z' + (1 + z + z')) :|: z' >= 0, z >= 0 a__sel(z, z') -{ 1 }-> mark(X) :|: z' = 1 + X + XS, X >= 0, z = 0, XS >= 0 a__sel(z, z') -{ 1 }-> a__sel(mark(z - 1), mark(XS)) :|: z' = 1 + X + XS, X >= 0, XS >= 0, z - 1 >= 0 a__sel(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 mark(z) -{ 1 }-> a__sel(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__fib1(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> a__fib(a__sel(mark(X167), mark(X267))) :|: z = 1 + (1 + X167 + X267), X267 >= 0, X167 >= 0 mark(z) -{ 2 }-> a__fib(a__fib1(mark(X168), mark(X268))) :|: X168 >= 0, X268 >= 0, z = 1 + (1 + X168 + X268) mark(z) -{ 2 }-> a__fib(a__fib(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__fib(a__add(mark(X169), mark(X269))) :|: X269 >= 0, X169 >= 0, z = 1 + (1 + X169 + X269) mark(z) -{ 2 }-> a__fib(0) :|: z = 1 + 0 mark(z) -{ 2 }-> a__fib(1 + mark(z - 2)) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__fib(1 + mark(X170) + X270) :|: z = 1 + (1 + X170 + X270), X170 >= 0, X270 >= 0 mark(z) -{ 1 }-> a__add(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + mark(z - 1) :|: z - 1 >= 0 mark(z) -{ 1 }-> 1 + mark(X1) + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 ---------------------------------------- (43) 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: none And the following fresh constants: none ---------------------------------------- (44) 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: a__fib(N) -> a__sel(mark(N), a__fib1(s(0), s(0))) [1] a__fib1(X, Y) -> cons(mark(X), fib1(Y, add(X, Y))) [1] a__add(0, X) -> mark(X) [1] a__add(s(X), Y) -> s(a__add(mark(X), mark(Y))) [1] a__sel(0, cons(X, XS)) -> mark(X) [1] a__sel(s(N), cons(X, XS)) -> a__sel(mark(N), mark(XS)) [1] mark(fib(X)) -> a__fib(mark(X)) [1] mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) [1] mark(fib1(X1, X2)) -> a__fib1(mark(X1), mark(X2)) [1] mark(add(X1, X2)) -> a__add(mark(X1), mark(X2)) [1] mark(s(X)) -> s(mark(X)) [1] mark(0) -> 0 [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] a__fib(X) -> fib(X) [1] a__sel(X1, X2) -> sel(X1, X2) [1] a__fib1(X1, X2) -> fib1(X1, X2) [1] a__add(X1, X2) -> add(X1, X2) [1] The TRS has the following type information: a__fib :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel a__sel :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel mark :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel a__fib1 :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel s :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel 0 :: 0:s:add:fib1:cons:fib:sel cons :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel fib1 :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel add :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel a__add :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel fib :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel sel :: 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel -> 0:s:add:fib1:cons:fib:sel Rewrite Strategy: INNERMOST ---------------------------------------- (45) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: 0 => 0 ---------------------------------------- (46) Obligation: Complexity RNTS consisting of the following rules: a__add(z, z') -{ 1 }-> mark(X) :|: z' = X, X >= 0, z = 0 a__add(z, z') -{ 1 }-> 1 + a__add(mark(X), mark(Y)) :|: z = 1 + X, z' = Y, Y >= 0, X >= 0 a__add(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__fib(z) -{ 1 }-> a__sel(mark(N), a__fib1(1 + 0, 1 + 0)) :|: z = N, N >= 0 a__fib(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__fib1(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__fib1(z, z') -{ 1 }-> 1 + mark(X) + (1 + Y + (1 + X + Y)) :|: z' = Y, Y >= 0, X >= 0, z = X a__sel(z, z') -{ 1 }-> mark(X) :|: z' = 1 + X + XS, X >= 0, z = 0, XS >= 0 a__sel(z, z') -{ 1 }-> a__sel(mark(N), mark(XS)) :|: z = 1 + N, z' = 1 + X + XS, X >= 0, XS >= 0, N >= 0 a__sel(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 mark(z) -{ 1 }-> a__sel(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__fib1(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__fib(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__add(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + mark(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> 1 + mark(X1) + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (47) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (48) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0), s(0))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(z0) -> c2 A__FIB1(z0, z1) -> c3(MARK(z0)) A__FIB1(z0, z1) -> c4 A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__ADD(z0, z1) -> c8 A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c12 MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(0) -> c21 MARK(cons(z0, z1)) -> c22(MARK(z0)) S tuples: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0), s(0))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(z0) -> c2 A__FIB1(z0, z1) -> c3(MARK(z0)) A__FIB1(z0, z1) -> c4 A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__ADD(z0, z1) -> c8 A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c12 MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(0) -> c21 MARK(cons(z0, z1)) -> c22(MARK(z0)) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB_1, A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1 Compound Symbols: c_2, c1_2, c2, c3_1, c4, c5_1, c6_2, c7_2, c8, c9_1, c10_2, c11_2, c12, c13_2, c14_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c21, c22_1 ---------------------------------------- (49) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 5 trailing nodes: A__FIB1(z0, z1) -> c4 A__SEL(z0, z1) -> c12 MARK(0) -> c21 A__ADD(z0, z1) -> c8 A__FIB(z0) -> c2 ---------------------------------------- (50) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0), s(0))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) S tuples: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0), s(0))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB_1, A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1 Compound Symbols: c_2, c1_2, c3_1, c5_1, c6_2, c7_2, c9_1, c10_2, c11_2, c13_2, c14_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1 ---------------------------------------- (51) CdtToCpxRelTrsProof (BOTH BOUNDS(ID, ID)) Converted S to standard rules, and D \ S as well as R to relative rules. ---------------------------------------- (52) 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: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0), s(0))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) The (relative) TRS S consists of the following rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Rewrite Strategy: INNERMOST ---------------------------------------- (53) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (54) 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: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0), s(0))), MARK(z0)) A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (55) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (56) 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: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0), s(0))), MARK(z0)) [1] A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) [1] A__FIB1(z0, z1) -> c3(MARK(z0)) [1] A__ADD(0, z0) -> c5(MARK(z0)) [1] A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) [1] A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) [1] A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) [1] MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) [1] MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) [1] MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) [1] MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) [1] MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) [1] MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) [1] MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) [1] MARK(s(z0)) -> c20(MARK(z0)) [1] MARK(cons(z0, z1)) -> c22(MARK(z0)) [1] a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) [0] a__fib(z0) -> fib(z0) [0] a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) [0] a__fib1(z0, z1) -> fib1(z0, z1) [0] a__add(0, z0) -> mark(z0) [0] a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) [0] a__add(z0, z1) -> add(z0, z1) [0] a__sel(0, cons(z0, z1)) -> mark(z0) [0] a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) [0] a__sel(z0, z1) -> sel(z0, z1) [0] mark(fib(z0)) -> a__fib(mark(z0)) [0] mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) [0] mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) [0] mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) [0] mark(s(z0)) -> s(mark(z0)) [0] mark(0) -> 0 [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] Rewrite Strategy: INNERMOST ---------------------------------------- (57) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (58) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0), s(0))), MARK(z0)) [1] A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) [1] A__FIB1(z0, z1) -> c3(MARK(z0)) [1] A__ADD(0, z0) -> c5(MARK(z0)) [1] A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) [1] A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) [1] A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) [1] MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) [1] MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) [1] MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) [1] MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) [1] MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) [1] MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) [1] MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) [1] MARK(s(z0)) -> c20(MARK(z0)) [1] MARK(cons(z0, z1)) -> c22(MARK(z0)) [1] a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) [0] a__fib(z0) -> fib(z0) [0] a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) [0] a__fib1(z0, z1) -> fib1(z0, z1) [0] a__add(0, z0) -> mark(z0) [0] a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) [0] a__add(z0, z1) -> add(z0, z1) [0] a__sel(0, cons(z0, z1)) -> mark(z0) [0] a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) [0] a__sel(z0, z1) -> sel(z0, z1) [0] mark(fib(z0)) -> a__fib(mark(z0)) [0] mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) [0] mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) [0] mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) [0] mark(s(z0)) -> s(mark(z0)) [0] mark(0) -> 0 [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] The TRS has the following type information: A__FIB :: 0:s:cons:fib:sel:fib1:add -> c:c1 c :: c9:c10:c11 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c:c1 A__SEL :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> c9:c10:c11 mark :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add a__fib1 :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add s :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add 0 :: 0:s:cons:fib:sel:fib1:add MARK :: 0:s:cons:fib:sel:fib1:add -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c1 :: c9:c10:c11 -> c3 -> c:c1 A__FIB1 :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> c3 c3 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c3 A__ADD :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> c5:c6:c7 c5 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c5:c6:c7 c6 :: c5:c6:c7 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c5:c6:c7 c7 :: c5:c6:c7 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c5:c6:c7 cons :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add c9 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c9:c10:c11 c10 :: c9:c10:c11 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c9:c10:c11 c11 :: c9:c10:c11 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c9:c10:c11 fib :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add c13 :: c:c1 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 sel :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add c14 :: c9:c10:c11 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c15 :: c9:c10:c11 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 fib1 :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add c16 :: c3 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c17 :: c3 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 add :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add c18 :: c5:c6:c7 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c19 :: c5:c6:c7 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c20 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c22 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 a__fib :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add a__sel :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add a__add :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add Rewrite Strategy: INNERMOST ---------------------------------------- (59) 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: A__FIB_1 A__FIB1_2 A__ADD_2 A__SEL_2 MARK_1 (c) The following functions are completely defined: a__fib_1 a__fib1_2 a__add_2 a__sel_2 mark_1 Due to the following rules being added: a__fib(v0) -> 0 [0] a__fib1(v0, v1) -> 0 [0] a__add(v0, v1) -> 0 [0] a__sel(v0, v1) -> 0 [0] mark(v0) -> 0 [0] And the following fresh constants: const, const1, const2, const3, const4 ---------------------------------------- (60) 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: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0), s(0))), MARK(z0)) [1] A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) [1] A__FIB1(z0, z1) -> c3(MARK(z0)) [1] A__ADD(0, z0) -> c5(MARK(z0)) [1] A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) [1] A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) [1] A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) [1] MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) [1] MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) [1] MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) [1] MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) [1] MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) [1] MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) [1] MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) [1] MARK(s(z0)) -> c20(MARK(z0)) [1] MARK(cons(z0, z1)) -> c22(MARK(z0)) [1] a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) [0] a__fib(z0) -> fib(z0) [0] a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) [0] a__fib1(z0, z1) -> fib1(z0, z1) [0] a__add(0, z0) -> mark(z0) [0] a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) [0] a__add(z0, z1) -> add(z0, z1) [0] a__sel(0, cons(z0, z1)) -> mark(z0) [0] a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) [0] a__sel(z0, z1) -> sel(z0, z1) [0] mark(fib(z0)) -> a__fib(mark(z0)) [0] mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) [0] mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) [0] mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) [0] mark(s(z0)) -> s(mark(z0)) [0] mark(0) -> 0 [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] a__fib(v0) -> 0 [0] a__fib1(v0, v1) -> 0 [0] a__add(v0, v1) -> 0 [0] a__sel(v0, v1) -> 0 [0] mark(v0) -> 0 [0] The TRS has the following type information: A__FIB :: 0:s:cons:fib:sel:fib1:add -> c:c1 c :: c9:c10:c11 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c:c1 A__SEL :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> c9:c10:c11 mark :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add a__fib1 :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add s :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add 0 :: 0:s:cons:fib:sel:fib1:add MARK :: 0:s:cons:fib:sel:fib1:add -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c1 :: c9:c10:c11 -> c3 -> c:c1 A__FIB1 :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> c3 c3 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c3 A__ADD :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> c5:c6:c7 c5 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c5:c6:c7 c6 :: c5:c6:c7 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c5:c6:c7 c7 :: c5:c6:c7 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c5:c6:c7 cons :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add c9 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c9:c10:c11 c10 :: c9:c10:c11 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c9:c10:c11 c11 :: c9:c10:c11 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c9:c10:c11 fib :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add c13 :: c:c1 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 sel :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add c14 :: c9:c10:c11 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c15 :: c9:c10:c11 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 fib1 :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add c16 :: c3 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c17 :: c3 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 add :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add c18 :: c5:c6:c7 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c19 :: c5:c6:c7 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c20 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c22 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 a__fib :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add a__sel :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add a__add :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add const :: c:c1 const1 :: c9:c10:c11 const2 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 const3 :: c3 const4 :: c5:c6:c7 Rewrite Strategy: INNERMOST ---------------------------------------- (61) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (62) 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: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0), s(0))), MARK(z0)) [1] A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) [1] A__FIB1(z0, z1) -> c3(MARK(z0)) [1] A__ADD(0, z0) -> c5(MARK(z0)) [1] A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) [1] A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) [1] A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) [1] MARK(fib(fib(z0227))) -> c13(A__FIB(a__fib(mark(z0227))), MARK(fib(z0227))) [1] MARK(fib(sel(z0228, z1151))) -> c13(A__FIB(a__sel(mark(z0228), mark(z1151))), MARK(sel(z0228, z1151))) [1] MARK(fib(fib1(z0229, z1152))) -> c13(A__FIB(a__fib1(mark(z0229), mark(z1152))), MARK(fib1(z0229, z1152))) [1] MARK(fib(add(z0230, z1153))) -> c13(A__FIB(a__add(mark(z0230), mark(z1153))), MARK(add(z0230, z1153))) [1] MARK(fib(s(z0231))) -> c13(A__FIB(s(mark(z0231))), MARK(s(z0231))) [1] MARK(fib(0)) -> c13(A__FIB(0), MARK(0)) [1] MARK(fib(cons(z0232, z1154))) -> c13(A__FIB(cons(mark(z0232), z1154)), MARK(cons(z0232, z1154))) [1] MARK(fib(z0)) -> c13(A__FIB(0), MARK(z0)) [1] MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) [1] MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) [1] MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) [1] MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) [1] MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) [1] MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) [1] MARK(s(z0)) -> c20(MARK(z0)) [1] MARK(cons(z0, z1)) -> c22(MARK(z0)) [1] a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) [0] a__fib(z0) -> fib(z0) [0] a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) [0] a__fib1(z0, z1) -> fib1(z0, z1) [0] a__add(0, z0) -> mark(z0) [0] a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) [0] a__add(z0, z1) -> add(z0, z1) [0] a__sel(0, cons(z0, z1)) -> mark(z0) [0] a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) [0] a__sel(z0, z1) -> sel(z0, z1) [0] mark(fib(fib(z0671))) -> a__fib(a__fib(mark(z0671))) [0] mark(fib(sel(z0672, z1447))) -> a__fib(a__sel(mark(z0672), mark(z1447))) [0] mark(fib(fib1(z0673, z1448))) -> a__fib(a__fib1(mark(z0673), mark(z1448))) [0] mark(fib(add(z0674, z1449))) -> a__fib(a__add(mark(z0674), mark(z1449))) [0] mark(fib(s(z0675))) -> a__fib(s(mark(z0675))) [0] mark(fib(0)) -> a__fib(0) [0] mark(fib(cons(z0676, z1450))) -> a__fib(cons(mark(z0676), z1450)) [0] mark(fib(z0)) -> a__fib(0) [0] mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) [0] mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) [0] mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) [0] mark(s(z0)) -> s(mark(z0)) [0] mark(0) -> 0 [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] a__fib(v0) -> 0 [0] a__fib1(v0, v1) -> 0 [0] a__add(v0, v1) -> 0 [0] a__sel(v0, v1) -> 0 [0] mark(v0) -> 0 [0] The TRS has the following type information: A__FIB :: 0:s:cons:fib:sel:fib1:add -> c:c1 c :: c9:c10:c11 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c:c1 A__SEL :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> c9:c10:c11 mark :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add a__fib1 :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add s :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add 0 :: 0:s:cons:fib:sel:fib1:add MARK :: 0:s:cons:fib:sel:fib1:add -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c1 :: c9:c10:c11 -> c3 -> c:c1 A__FIB1 :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> c3 c3 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c3 A__ADD :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> c5:c6:c7 c5 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c5:c6:c7 c6 :: c5:c6:c7 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c5:c6:c7 c7 :: c5:c6:c7 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c5:c6:c7 cons :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add c9 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c9:c10:c11 c10 :: c9:c10:c11 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c9:c10:c11 c11 :: c9:c10:c11 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c9:c10:c11 fib :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add c13 :: c:c1 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 sel :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add c14 :: c9:c10:c11 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c15 :: c9:c10:c11 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 fib1 :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add c16 :: c3 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c17 :: c3 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 add :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add c18 :: c5:c6:c7 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c19 :: c5:c6:c7 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c20 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 c22 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 -> c13:c14:c15:c16:c17:c18:c19:c20:c22 a__fib :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add a__sel :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add a__add :: 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add -> 0:s:cons:fib:sel:fib1:add const :: c:c1 const1 :: c9:c10:c11 const2 :: c13:c14:c15:c16:c17:c18:c19:c20:c22 const3 :: c3 const4 :: c5:c6:c7 Rewrite Strategy: INNERMOST ---------------------------------------- (63) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: 0 => 0 const => 0 const1 => 0 const2 => 0 const3 => 0 const4 => 0 ---------------------------------------- (64) Obligation: Complexity RNTS consisting of the following rules: A__ADD(z, z') -{ 1 }-> 1 + MARK(z0) :|: z0 >= 0, z = 0, z' = z0 A__ADD(z, z') -{ 1 }-> 1 + A__ADD(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z = 1 + z0, z' = z1, z0 >= 0 A__ADD(z, z') -{ 1 }-> 1 + A__ADD(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z = 1 + z0, z' = z1, z0 >= 0 A__FIB(z) -{ 1 }-> 1 + A__SEL(mark(z0), a__fib1(1 + 0, 1 + 0)) + MARK(z0) :|: z = z0, z0 >= 0 A__FIB(z) -{ 1 }-> 1 + A__SEL(mark(z0), a__fib1(1 + 0, 1 + 0)) + A__FIB1(1 + 0, 1 + 0) :|: z = z0, z0 >= 0 A__FIB1(z, z') -{ 1 }-> 1 + MARK(z0) :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 A__SEL(z, z') -{ 1 }-> 1 + MARK(z0) :|: z' = 1 + z0 + z1, z1 >= 0, z0 >= 0, z = 0 A__SEL(z, z') -{ 1 }-> 1 + A__SEL(mark(z0), mark(z2)) + MARK(z0) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 A__SEL(z, z') -{ 1 }-> 1 + A__SEL(mark(z0), mark(z2)) + MARK(z2) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__SEL(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__SEL(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__FIB1(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__FIB1(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__FIB(a__sel(mark(z0228), mark(z1151))) + MARK(1 + z0228 + z1151) :|: z1151 >= 0, z = 1 + (1 + z0228 + z1151), z0228 >= 0 MARK(z) -{ 1 }-> 1 + A__FIB(a__fib1(mark(z0229), mark(z1152))) + MARK(1 + z0229 + z1152) :|: z0229 >= 0, z = 1 + (1 + z0229 + z1152), z1152 >= 0 MARK(z) -{ 1 }-> 1 + A__FIB(a__fib(mark(z0227))) + MARK(1 + z0227) :|: z = 1 + (1 + z0227), z0227 >= 0 MARK(z) -{ 1 }-> 1 + A__FIB(a__add(mark(z0230), mark(z1153))) + MARK(1 + z0230 + z1153) :|: z0230 >= 0, z = 1 + (1 + z0230 + z1153), z1153 >= 0 MARK(z) -{ 1 }-> 1 + A__FIB(0) + MARK(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__FIB(0) + MARK(0) :|: z = 1 + 0 MARK(z) -{ 1 }-> 1 + A__FIB(1 + mark(z0231)) + MARK(1 + z0231) :|: z0231 >= 0, z = 1 + (1 + z0231) MARK(z) -{ 1 }-> 1 + A__FIB(1 + mark(z0232) + z1154) + MARK(1 + z0232 + z1154) :|: z0232 >= 0, z1154 >= 0, z = 1 + (1 + z0232 + z1154) MARK(z) -{ 1 }-> 1 + A__ADD(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__ADD(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__add(z, z') -{ 0 }-> mark(z0) :|: z0 >= 0, z = 0, z' = z0 a__add(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__add(z, z') -{ 0 }-> 1 + a__add(mark(z0), mark(z1)) :|: z1 >= 0, z = 1 + z0, z' = z1, z0 >= 0 a__add(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__fib(z) -{ 0 }-> a__sel(mark(z0), a__fib1(1 + 0, 1 + 0)) :|: z = z0, z0 >= 0 a__fib(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__fib(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__fib1(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__fib1(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__fib1(z, z') -{ 0 }-> 1 + mark(z0) + (1 + z1 + (1 + z0 + z1)) :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__sel(z, z') -{ 0 }-> mark(z0) :|: z' = 1 + z0 + z1, z1 >= 0, z0 >= 0, z = 0 a__sel(z, z') -{ 0 }-> a__sel(mark(z0), mark(z2)) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 a__sel(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__sel(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 mark(z) -{ 0 }-> a__sel(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__fib1(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__fib(a__sel(mark(z0672), mark(z1447))) :|: z0672 >= 0, z = 1 + (1 + z0672 + z1447), z1447 >= 0 mark(z) -{ 0 }-> a__fib(a__fib1(mark(z0673), mark(z1448))) :|: z1448 >= 0, z = 1 + (1 + z0673 + z1448), z0673 >= 0 mark(z) -{ 0 }-> a__fib(a__fib(mark(z0671))) :|: z0671 >= 0, z = 1 + (1 + z0671) mark(z) -{ 0 }-> a__fib(a__add(mark(z0674), mark(z1449))) :|: z = 1 + (1 + z0674 + z1449), z0674 >= 0, z1449 >= 0 mark(z) -{ 0 }-> a__fib(0) :|: z = 1 + 0 mark(z) -{ 0 }-> a__fib(0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__fib(1 + mark(z0675)) :|: z = 1 + (1 + z0675), z0675 >= 0 mark(z) -{ 0 }-> a__fib(1 + mark(z0676) + z1450) :|: z0676 >= 0, z1450 >= 0, z = 1 + (1 + z0676 + z1450) mark(z) -{ 0 }-> a__add(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> 0 :|: z = 0 mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 mark(z) -{ 0 }-> 1 + mark(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 + mark(z0) + z1 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ---------------------------------------- (65) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (66) Obligation: Complexity RNTS consisting of the following rules: A__ADD(z, z') -{ 1 }-> 1 + MARK(z') :|: z' >= 0, z = 0 A__ADD(z, z') -{ 1 }-> 1 + A__ADD(mark(z - 1), mark(z')) + MARK(z') :|: z' >= 0, z - 1 >= 0 A__ADD(z, z') -{ 1 }-> 1 + A__ADD(mark(z - 1), mark(z')) + MARK(z - 1) :|: z' >= 0, z - 1 >= 0 A__FIB(z) -{ 1 }-> 1 + A__SEL(mark(z), a__fib1(1 + 0, 1 + 0)) + MARK(z) :|: z >= 0 A__FIB(z) -{ 1 }-> 1 + A__SEL(mark(z), a__fib1(1 + 0, 1 + 0)) + A__FIB1(1 + 0, 1 + 0) :|: z >= 0 A__FIB1(z, z') -{ 1 }-> 1 + MARK(z) :|: z' >= 0, z >= 0 A__SEL(z, z') -{ 1 }-> 1 + MARK(z0) :|: z' = 1 + z0 + z1, z1 >= 0, z0 >= 0, z = 0 A__SEL(z, z') -{ 1 }-> 1 + A__SEL(mark(z - 1), mark(z2)) + MARK(z2) :|: z1 >= 0, z' = 1 + z1 + z2, z - 1 >= 0, z2 >= 0 A__SEL(z, z') -{ 1 }-> 1 + A__SEL(mark(z - 1), mark(z2)) + MARK(z - 1) :|: z1 >= 0, z' = 1 + z1 + z2, z - 1 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + MARK(z - 1) :|: z - 1 >= 0 MARK(z) -{ 1 }-> 1 + A__SEL(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__SEL(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__FIB1(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__FIB1(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__FIB(a__sel(mark(z0228), mark(z1151))) + MARK(1 + z0228 + z1151) :|: z1151 >= 0, z = 1 + (1 + z0228 + z1151), z0228 >= 0 MARK(z) -{ 1 }-> 1 + A__FIB(a__fib1(mark(z0229), mark(z1152))) + MARK(1 + z0229 + z1152) :|: z0229 >= 0, z = 1 + (1 + z0229 + z1152), z1152 >= 0 MARK(z) -{ 1 }-> 1 + A__FIB(a__fib(mark(z - 2))) + MARK(1 + (z - 2)) :|: z - 2 >= 0 MARK(z) -{ 1 }-> 1 + A__FIB(a__add(mark(z0230), mark(z1153))) + MARK(1 + z0230 + z1153) :|: z0230 >= 0, z = 1 + (1 + z0230 + z1153), z1153 >= 0 MARK(z) -{ 1 }-> 1 + A__FIB(0) + MARK(0) :|: z = 1 + 0 MARK(z) -{ 1 }-> 1 + A__FIB(0) + MARK(z - 1) :|: z - 1 >= 0 MARK(z) -{ 1 }-> 1 + A__FIB(1 + mark(z - 2)) + MARK(1 + (z - 2)) :|: z - 2 >= 0 MARK(z) -{ 1 }-> 1 + A__FIB(1 + mark(z0232) + z1154) + MARK(1 + z0232 + z1154) :|: z0232 >= 0, z1154 >= 0, z = 1 + (1 + z0232 + z1154) MARK(z) -{ 1 }-> 1 + A__ADD(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__ADD(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__add(z, z') -{ 0 }-> mark(z') :|: z' >= 0, z = 0 a__add(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 a__add(z, z') -{ 0 }-> 1 + a__add(mark(z - 1), mark(z')) :|: z' >= 0, z - 1 >= 0 a__add(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 a__fib(z) -{ 0 }-> a__sel(mark(z), a__fib1(1 + 0, 1 + 0)) :|: z >= 0 a__fib(z) -{ 0 }-> 0 :|: z >= 0 a__fib(z) -{ 0 }-> 1 + z :|: z >= 0 a__fib1(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 a__fib1(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 a__fib1(z, z') -{ 0 }-> 1 + mark(z) + (1 + z' + (1 + z + z')) :|: z' >= 0, z >= 0 a__sel(z, z') -{ 0 }-> mark(z0) :|: z' = 1 + z0 + z1, z1 >= 0, z0 >= 0, z = 0 a__sel(z, z') -{ 0 }-> a__sel(mark(z - 1), mark(z2)) :|: z1 >= 0, z' = 1 + z1 + z2, z - 1 >= 0, z2 >= 0 a__sel(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 a__sel(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 mark(z) -{ 0 }-> a__sel(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__fib1(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__fib(a__sel(mark(z0672), mark(z1447))) :|: z0672 >= 0, z = 1 + (1 + z0672 + z1447), z1447 >= 0 mark(z) -{ 0 }-> a__fib(a__fib1(mark(z0673), mark(z1448))) :|: z1448 >= 0, z = 1 + (1 + z0673 + z1448), z0673 >= 0 mark(z) -{ 0 }-> a__fib(a__fib(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 0 }-> a__fib(a__add(mark(z0674), mark(z1449))) :|: z = 1 + (1 + z0674 + z1449), z0674 >= 0, z1449 >= 0 mark(z) -{ 0 }-> a__fib(0) :|: z = 1 + 0 mark(z) -{ 0 }-> a__fib(0) :|: z - 1 >= 0 mark(z) -{ 0 }-> a__fib(1 + mark(z - 2)) :|: z - 2 >= 0 mark(z) -{ 0 }-> a__fib(1 + mark(z0676) + z1450) :|: z0676 >= 0, z1450 >= 0, z = 1 + (1 + z0676 + z1450) mark(z) -{ 0 }-> a__add(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> 0 :|: z = 0 mark(z) -{ 0 }-> 0 :|: z >= 0 mark(z) -{ 0 }-> 1 + mark(z - 1) :|: z - 1 >= 0 mark(z) -{ 0 }-> 1 + mark(z0) + z1 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ---------------------------------------- (67) 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: a__fib(v0) -> null_a__fib [0] a__fib1(v0, v1) -> null_a__fib1 [0] a__add(v0, v1) -> null_a__add [0] a__sel(v0, v1) -> null_a__sel [0] mark(v0) -> null_mark [0] A__ADD(v0, v1) -> null_A__ADD [0] A__SEL(v0, v1) -> null_A__SEL [0] MARK(v0) -> null_MARK [0] And the following fresh constants: null_a__fib, null_a__fib1, null_a__add, null_a__sel, null_mark, null_A__ADD, null_A__SEL, null_MARK, const, const1 ---------------------------------------- (68) 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: A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0), s(0))), MARK(z0)) [1] A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) [1] A__FIB1(z0, z1) -> c3(MARK(z0)) [1] A__ADD(0, z0) -> c5(MARK(z0)) [1] A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) [1] A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) [1] A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) [1] MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) [1] MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) [1] MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) [1] MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) [1] MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) [1] MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) [1] MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) [1] MARK(s(z0)) -> c20(MARK(z0)) [1] MARK(cons(z0, z1)) -> c22(MARK(z0)) [1] a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) [0] a__fib(z0) -> fib(z0) [0] a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) [0] a__fib1(z0, z1) -> fib1(z0, z1) [0] a__add(0, z0) -> mark(z0) [0] a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) [0] a__add(z0, z1) -> add(z0, z1) [0] a__sel(0, cons(z0, z1)) -> mark(z0) [0] a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) [0] a__sel(z0, z1) -> sel(z0, z1) [0] mark(fib(z0)) -> a__fib(mark(z0)) [0] mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) [0] mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) [0] mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) [0] mark(s(z0)) -> s(mark(z0)) [0] mark(0) -> 0 [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] a__fib(v0) -> null_a__fib [0] a__fib1(v0, v1) -> null_a__fib1 [0] a__add(v0, v1) -> null_a__add [0] a__sel(v0, v1) -> null_a__sel [0] mark(v0) -> null_mark [0] A__ADD(v0, v1) -> null_A__ADD [0] A__SEL(v0, v1) -> null_A__SEL [0] MARK(v0) -> null_MARK [0] The TRS has the following type information: A__FIB :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> c:c1 c :: c9:c10:c11:null_A__SEL -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c:c1 A__SEL :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> c9:c10:c11:null_A__SEL mark :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark a__fib1 :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark s :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark 0 :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark MARK :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK c1 :: c9:c10:c11:null_A__SEL -> c3 -> c:c1 A__FIB1 :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> c3 c3 :: c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c3 A__ADD :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> c5:c6:c7:null_A__ADD c5 :: c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c5:c6:c7:null_A__ADD c6 :: c5:c6:c7:null_A__ADD -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c5:c6:c7:null_A__ADD c7 :: c5:c6:c7:null_A__ADD -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c5:c6:c7:null_A__ADD cons :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark c9 :: c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c9:c10:c11:null_A__SEL c10 :: c9:c10:c11:null_A__SEL -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c9:c10:c11:null_A__SEL c11 :: c9:c10:c11:null_A__SEL -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c9:c10:c11:null_A__SEL fib :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark c13 :: c:c1 -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK sel :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark c14 :: c9:c10:c11:null_A__SEL -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK c15 :: c9:c10:c11:null_A__SEL -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK fib1 :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark c16 :: c3 -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK c17 :: c3 -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK add :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark c18 :: c5:c6:c7:null_A__ADD -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK c19 :: c5:c6:c7:null_A__ADD -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK c20 :: c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK c22 :: c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK -> c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK a__fib :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark a__sel :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark a__add :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark -> 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark null_a__fib :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark null_a__fib1 :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark null_a__add :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark null_a__sel :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark null_mark :: 0:s:cons:fib:sel:fib1:add:null_a__fib:null_a__fib1:null_a__add:null_a__sel:null_mark null_A__ADD :: c5:c6:c7:null_A__ADD null_A__SEL :: c9:c10:c11:null_A__SEL null_MARK :: c13:c14:c15:c16:c17:c18:c19:c20:c22:null_MARK const :: c:c1 const1 :: c3 Rewrite Strategy: INNERMOST ---------------------------------------- (69) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: 0 => 0 null_a__fib => 0 null_a__fib1 => 0 null_a__add => 0 null_a__sel => 0 null_mark => 0 null_A__ADD => 0 null_A__SEL => 0 null_MARK => 0 const => 0 const1 => 0 ---------------------------------------- (70) Obligation: Complexity RNTS consisting of the following rules: A__ADD(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__ADD(z, z') -{ 1 }-> 1 + MARK(z0) :|: z0 >= 0, z = 0, z' = z0 A__ADD(z, z') -{ 1 }-> 1 + A__ADD(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z = 1 + z0, z' = z1, z0 >= 0 A__ADD(z, z') -{ 1 }-> 1 + A__ADD(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z = 1 + z0, z' = z1, z0 >= 0 A__FIB(z) -{ 1 }-> 1 + A__SEL(mark(z0), a__fib1(1 + 0, 1 + 0)) + MARK(z0) :|: z = z0, z0 >= 0 A__FIB(z) -{ 1 }-> 1 + A__SEL(mark(z0), a__fib1(1 + 0, 1 + 0)) + A__FIB1(1 + 0, 1 + 0) :|: z = z0, z0 >= 0 A__FIB1(z, z') -{ 1 }-> 1 + MARK(z0) :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 A__SEL(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__SEL(z, z') -{ 1 }-> 1 + MARK(z0) :|: z' = 1 + z0 + z1, z1 >= 0, z0 >= 0, z = 0 A__SEL(z, z') -{ 1 }-> 1 + A__SEL(mark(z0), mark(z2)) + MARK(z0) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 A__SEL(z, z') -{ 1 }-> 1 + A__SEL(mark(z0), mark(z2)) + MARK(z2) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 MARK(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__SEL(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__SEL(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__FIB1(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__FIB1(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__FIB(mark(z0)) + MARK(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__ADD(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__ADD(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__add(z, z') -{ 0 }-> mark(z0) :|: z0 >= 0, z = 0, z' = z0 a__add(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__add(z, z') -{ 0 }-> 1 + a__add(mark(z0), mark(z1)) :|: z1 >= 0, z = 1 + z0, z' = z1, z0 >= 0 a__add(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__fib(z) -{ 0 }-> a__sel(mark(z0), a__fib1(1 + 0, 1 + 0)) :|: z = z0, z0 >= 0 a__fib(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__fib(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__fib1(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__fib1(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__fib1(z, z') -{ 0 }-> 1 + mark(z0) + (1 + z1 + (1 + z0 + z1)) :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__sel(z, z') -{ 0 }-> mark(z0) :|: z' = 1 + z0 + z1, z1 >= 0, z0 >= 0, z = 0 a__sel(z, z') -{ 0 }-> a__sel(mark(z0), mark(z2)) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 a__sel(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__sel(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 mark(z) -{ 0 }-> a__sel(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__fib1(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__fib(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__add(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> 0 :|: z = 0 mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 mark(z) -{ 0 }-> 1 + mark(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 + mark(z0) + z1 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (71) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__FIB(z0) -> c(A__SEL(mark(z0), a__fib1(s(0), s(0))), MARK(z0)) by A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(x0) -> c(A__SEL(mark(x0), fib1(s(0), s(0))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0))), MARK(0)) A__FIB(cons(z0, z1)) -> c(A__SEL(cons(mark(z0), z1), a__fib1(s(0), s(0))), MARK(cons(z0, z1))) ---------------------------------------- (72) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(x0) -> c(A__SEL(mark(x0), fib1(s(0), s(0))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0))), MARK(0)) A__FIB(cons(z0, z1)) -> c(A__SEL(cons(mark(z0), z1), a__fib1(s(0), s(0))), MARK(cons(z0, z1))) S tuples: A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(x0) -> c(A__SEL(mark(x0), fib1(s(0), s(0))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0))), MARK(0)) A__FIB(cons(z0, z1)) -> c(A__SEL(cons(mark(z0), z1), a__fib1(s(0), s(0))), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB_1, A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1 Compound Symbols: c1_2, c3_1, c5_1, c6_2, c7_2, c9_1, c10_2, c11_2, c13_2, c14_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2 ---------------------------------------- (73) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (74) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) S tuples: A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB_1, A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1 Compound Symbols: c1_2, c3_1, c5_1, c6_2, c7_2, c9_1, c10_2, c11_2, c13_2, c14_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1 ---------------------------------------- (75) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__FIB(z0) -> c1(A__SEL(mark(z0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) by A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__SEL(mark(x0), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__SEL(cons(mark(z0), z1), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) ---------------------------------------- (76) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__SEL(mark(x0), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__SEL(cons(mark(z0), z1), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__SEL(mark(x0), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__SEL(cons(mark(z0), z1), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c6_2, c7_2, c9_1, c10_2, c11_2, c13_2, c14_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2 ---------------------------------------- (77) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (78) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c6_2, c7_2, c9_1, c10_2, c11_2, c13_2, c14_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1 ---------------------------------------- (79) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(z0), z1) -> c6(A__ADD(mark(z0), mark(z1)), MARK(z0)) by A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1)), MARK(0)) A__ADD(s(cons(z0, z1)), x1) -> c6(A__ADD(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) ---------------------------------------- (80) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1)), MARK(0)) A__ADD(s(cons(z0, z1)), x1) -> c6(A__ADD(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1)), MARK(0)) A__ADD(s(cons(z0, z1)), x1) -> c6(A__ADD(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c7_2, c9_1, c10_2, c11_2, c13_2, c14_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2 ---------------------------------------- (81) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (82) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c7_2, c9_1, c10_2, c11_2, c13_2, c14_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1 ---------------------------------------- (83) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(z0), z1) -> c7(A__ADD(mark(z0), mark(z1)), MARK(z1)) by A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0), MARK(0)) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(cons(z0, z1)), x1) -> c7(A__ADD(cons(mark(z0), z1), mark(x1)), MARK(x1)) ---------------------------------------- (84) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0), MARK(0)) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(cons(z0, z1)), x1) -> c7(A__ADD(cons(mark(z0), z1), mark(x1)), MARK(x1)) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0), MARK(0)) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(cons(z0, z1)), x1) -> c7(A__ADD(cons(mark(z0), z1), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c10_2, c11_2, c13_2, c14_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2 ---------------------------------------- (85) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (86) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c10_2, c11_2, c13_2, c14_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1 ---------------------------------------- (87) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(z0), cons(z1, z2)) -> c10(A__SEL(mark(z0), mark(z2)), MARK(z0)) by A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c10(A__SEL(mark(x0), s(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(A__SEL(mark(x0), 0), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2)), MARK(0)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__SEL(cons(mark(z0), z1), mark(x2)), MARK(cons(z0, z1))) ---------------------------------------- (88) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c10(A__SEL(mark(x0), s(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(A__SEL(mark(x0), 0), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2)), MARK(0)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__SEL(cons(mark(z0), z1), mark(x2)), MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c10(A__SEL(mark(x0), s(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(A__SEL(mark(x0), 0), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2)), MARK(0)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__SEL(cons(mark(z0), z1), mark(x2)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c11_2, c13_2, c14_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2 ---------------------------------------- (89) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (90) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c11_2, c13_2, c14_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1 ---------------------------------------- (91) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(z0), cons(z1, z2)) -> c11(A__SEL(mark(z0), mark(z2)), MARK(z2)) by A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, s(z0))) -> c11(A__SEL(mark(x0), s(mark(z0))), MARK(s(z0))) A__SEL(s(x0), cons(x1, 0)) -> c11(A__SEL(mark(x0), 0), MARK(0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__SEL(cons(mark(z0), z1), mark(x2)), MARK(x2)) ---------------------------------------- (92) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, s(z0))) -> c11(A__SEL(mark(x0), s(mark(z0))), MARK(s(z0))) A__SEL(s(x0), cons(x1, 0)) -> c11(A__SEL(mark(x0), 0), MARK(0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__SEL(cons(mark(z0), z1), mark(x2)), MARK(x2)) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, s(z0))) -> c11(A__SEL(mark(x0), s(mark(z0))), MARK(s(z0))) A__SEL(s(x0), cons(x1, 0)) -> c11(A__SEL(mark(x0), 0), MARK(0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__SEL(cons(mark(z0), z1), mark(x2)), MARK(x2)) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c14_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2 ---------------------------------------- (93) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: A__SEL(s(x0), cons(x1, 0)) -> c11(A__SEL(mark(x0), 0), MARK(0)) ---------------------------------------- (94) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, s(z0))) -> c11(A__SEL(mark(x0), s(mark(z0))), MARK(s(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__SEL(cons(mark(z0), z1), mark(x2)), MARK(x2)) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, s(z0))) -> c11(A__SEL(mark(x0), s(mark(z0))), MARK(s(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__SEL(cons(mark(z0), z1), mark(x2)), MARK(x2)) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c14_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2 ---------------------------------------- (95) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (96) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c14_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1 ---------------------------------------- (97) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(sel(z0, z1)) -> c14(A__SEL(mark(z0), mark(z1)), MARK(z0)) by MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, s(z0))) -> c14(A__SEL(mark(x0), s(mark(z0))), MARK(x0)) MARK(sel(x0, 0)) -> c14(A__SEL(mark(x0), 0), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1)), MARK(0)) MARK(sel(cons(z0, z1), x1)) -> c14(A__SEL(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) ---------------------------------------- (98) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, s(z0))) -> c14(A__SEL(mark(x0), s(mark(z0))), MARK(x0)) MARK(sel(x0, 0)) -> c14(A__SEL(mark(x0), 0), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1)), MARK(0)) MARK(sel(cons(z0, z1), x1)) -> c14(A__SEL(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, s(z0))) -> c14(A__SEL(mark(x0), s(mark(z0))), MARK(x0)) MARK(sel(x0, 0)) -> c14(A__SEL(mark(x0), 0), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1)), MARK(0)) MARK(sel(cons(z0, z1), x1)) -> c14(A__SEL(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2 ---------------------------------------- (99) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (100) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1 ---------------------------------------- (101) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(sel(z0, z1)) -> c15(A__SEL(mark(z0), mark(z1)), MARK(z1)) by MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, s(z0))) -> c15(A__SEL(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(sel(x0, 0)) -> c15(A__SEL(mark(x0), 0), MARK(0)) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c15(A__SEL(cons(mark(z0), z1), mark(x1)), MARK(x1)) ---------------------------------------- (102) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, s(z0))) -> c15(A__SEL(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(sel(x0, 0)) -> c15(A__SEL(mark(x0), 0), MARK(0)) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c15(A__SEL(cons(mark(z0), z1), mark(x1)), MARK(x1)) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, s(z0))) -> c15(A__SEL(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(sel(x0, 0)) -> c15(A__SEL(mark(x0), 0), MARK(0)) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c15(A__SEL(cons(mark(z0), z1), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2 ---------------------------------------- (103) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: MARK(sel(x0, 0)) -> c15(A__SEL(mark(x0), 0), MARK(0)) ---------------------------------------- (104) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, s(z0))) -> c15(A__SEL(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c15(A__SEL(cons(mark(z0), z1), mark(x1)), MARK(x1)) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, s(z0))) -> c15(A__SEL(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c15(A__SEL(cons(mark(z0), z1), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2 ---------------------------------------- (105) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (106) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c18_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1 ---------------------------------------- (107) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(add(z0, z1)) -> c18(A__ADD(mark(z0), mark(z1)), MARK(z0)) by MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1)), MARK(0)) MARK(add(cons(z0, z1), x1)) -> c18(A__ADD(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) ---------------------------------------- (108) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1)), MARK(0)) MARK(add(cons(z0, z1), x1)) -> c18(A__ADD(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1)), MARK(0)) MARK(add(cons(z0, z1), x1)) -> c18(A__ADD(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2 ---------------------------------------- (109) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (110) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c19_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1 ---------------------------------------- (111) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(add(z0, z1)) -> c19(A__ADD(mark(z0), mark(z1)), MARK(z1)) by MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0), MARK(0)) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(cons(z0, z1), x1)) -> c19(A__ADD(cons(mark(z0), z1), mark(x1)), MARK(x1)) ---------------------------------------- (112) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0), MARK(0)) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(cons(z0, z1), x1)) -> c19(A__ADD(cons(mark(z0), z1), mark(x1)), MARK(x1)) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0), MARK(0)) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(cons(z0, z1), x1)) -> c19(A__ADD(cons(mark(z0), z1), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2 ---------------------------------------- (113) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (114) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1 ---------------------------------------- (115) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__FIB(x0) -> c(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) by A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(0)) A__FIB(cons(z0, z1)) -> c(A__SEL(cons(mark(z0), z1), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(cons(z0, z1))) ---------------------------------------- (116) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(0)) A__FIB(cons(z0, z1)) -> c(A__SEL(cons(mark(z0), z1), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(0)) A__FIB(cons(z0, z1)) -> c(A__SEL(cons(mark(z0), z1), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1 ---------------------------------------- (117) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (118) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1 ---------------------------------------- (119) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), MARK(fib(z0))) by A__FIB(fib(x0)) -> c(A__SEL(a__fib(mark(x0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(x0))) A__FIB(fib(x0)) -> c(A__SEL(a__fib(mark(x0)), fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(x0)) -> c(A__SEL(fib(mark(x0)), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) ---------------------------------------- (120) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__fib(mark(x0)), fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(x0)) -> c(A__SEL(fib(mark(x0)), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__fib(mark(x0)), fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(x0)) -> c(A__SEL(fib(mark(x0)), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1 ---------------------------------------- (121) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (122) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1 ---------------------------------------- (123) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(sel(z0, z1))) by A__FIB(sel(x0, x1)) -> c(A__SEL(a__sel(mark(x0), mark(x1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(x0, x1))) A__FIB(sel(x0, x1)) -> c(A__SEL(a__sel(mark(x0), mark(x1)), fib1(s(0), s(0))), MARK(sel(x0, x1))) A__FIB(sel(x0, x1)) -> c(A__SEL(sel(mark(x0), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(x0, x1))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) ---------------------------------------- (124) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, x1)) -> c(A__SEL(a__sel(mark(x0), mark(x1)), fib1(s(0), s(0))), MARK(sel(x0, x1))) A__FIB(sel(x0, x1)) -> c(A__SEL(sel(mark(x0), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(x0, x1))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, x1)) -> c(A__SEL(a__sel(mark(x0), mark(x1)), fib1(s(0), s(0))), MARK(sel(x0, x1))) A__FIB(sel(x0, x1)) -> c(A__SEL(sel(mark(x0), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(x0, x1))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1 ---------------------------------------- (125) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (126) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1 ---------------------------------------- (127) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(fib1(z0, z1))) by A__FIB(fib1(x0, x1)) -> c(A__SEL(a__fib1(mark(x0), mark(x1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(x0, x1))) A__FIB(fib1(x0, x1)) -> c(A__SEL(a__fib1(mark(x0), mark(x1)), fib1(s(0), s(0))), MARK(fib1(x0, x1))) A__FIB(fib1(x0, x1)) -> c(A__SEL(cons(mark(mark(x0)), fib1(mark(x1), add(mark(x0), mark(x1)))), a__fib1(s(0), s(0))), MARK(fib1(x0, x1))) A__FIB(fib1(x0, x1)) -> c(A__SEL(fib1(mark(x0), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) ---------------------------------------- (128) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, x1)) -> c(A__SEL(a__fib1(mark(x0), mark(x1)), fib1(s(0), s(0))), MARK(fib1(x0, x1))) A__FIB(fib1(x0, x1)) -> c(A__SEL(cons(mark(mark(x0)), fib1(mark(x1), add(mark(x0), mark(x1)))), a__fib1(s(0), s(0))), MARK(fib1(x0, x1))) A__FIB(fib1(x0, x1)) -> c(A__SEL(fib1(mark(x0), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, x1)) -> c(A__SEL(a__fib1(mark(x0), mark(x1)), fib1(s(0), s(0))), MARK(fib1(x0, x1))) A__FIB(fib1(x0, x1)) -> c(A__SEL(cons(mark(mark(x0)), fib1(mark(x1), add(mark(x0), mark(x1)))), a__fib1(s(0), s(0))), MARK(fib1(x0, x1))) A__FIB(fib1(x0, x1)) -> c(A__SEL(fib1(mark(x0), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1 ---------------------------------------- (129) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (130) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1 ---------------------------------------- (131) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), MARK(add(z0, z1))) by A__FIB(add(x0, x1)) -> c(A__SEL(a__add(mark(x0), mark(x1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(x0, x1))) A__FIB(add(x0, x1)) -> c(A__SEL(a__add(mark(x0), mark(x1)), fib1(s(0), s(0))), MARK(add(x0, x1))) A__FIB(add(x0, x1)) -> c(A__SEL(add(mark(x0), mark(x1)), a__fib1(s(0), s(0))), MARK(add(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) ---------------------------------------- (132) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, x1)) -> c(A__SEL(a__add(mark(x0), mark(x1)), fib1(s(0), s(0))), MARK(add(x0, x1))) A__FIB(add(x0, x1)) -> c(A__SEL(add(mark(x0), mark(x1)), a__fib1(s(0), s(0))), MARK(add(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, x1)) -> c(A__SEL(a__add(mark(x0), mark(x1)), fib1(s(0), s(0))), MARK(add(x0, x1))) A__FIB(add(x0, x1)) -> c(A__SEL(add(mark(x0), mark(x1)), a__fib1(s(0), s(0))), MARK(add(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1 ---------------------------------------- (133) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (134) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_2, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1 ---------------------------------------- (135) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), MARK(s(z0))) by A__FIB(s(x0)) -> c(A__SEL(s(mark(x0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(x0))) A__FIB(s(x0)) -> c(A__SEL(s(mark(x0)), fib1(s(0), s(0))), MARK(s(x0))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) ---------------------------------------- (136) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(x0)) -> c(A__SEL(s(mark(x0)), fib1(s(0), s(0))), MARK(s(x0))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(x0)) -> c(A__SEL(s(mark(x0)), fib1(s(0), s(0))), MARK(s(x0))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2 ---------------------------------------- (137) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (138) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2 ---------------------------------------- (139) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__FIB(0) -> c(A__SEL(0, a__fib1(s(0), s(0)))) by A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(0) -> c(A__SEL(0, fib1(s(0), s(0)))) ---------------------------------------- (140) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(0) -> c(A__SEL(0, fib1(s(0), s(0)))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(0) -> c(A__SEL(0, fib1(s(0), s(0)))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2 ---------------------------------------- (141) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: A__FIB(0) -> c(A__SEL(0, fib1(s(0), s(0)))) ---------------------------------------- (142) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2 ---------------------------------------- (143) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__FIB(x0) -> c1(A__SEL(mark(x0), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) by A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__SEL(cons(mark(z0), z1), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) ---------------------------------------- (144) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__SEL(cons(mark(z0), z1), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__SEL(cons(mark(z0), z1), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2 ---------------------------------------- (145) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (146) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2 ---------------------------------------- (147) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) by A__FIB(fib(x0)) -> c1(A__SEL(a__fib(mark(x0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__fib(mark(x0)), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(fib(mark(x0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) ---------------------------------------- (148) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__fib(mark(x0)), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(fib(mark(x0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__fib(mark(x0)), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(fib(mark(x0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2 ---------------------------------------- (149) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (150) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2 ---------------------------------------- (151) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) by A__FIB(sel(x0, x1)) -> c1(A__SEL(a__sel(mark(x0), mark(x1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__SEL(a__sel(mark(x0), mark(x1)), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__SEL(sel(mark(x0), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) ---------------------------------------- (152) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__SEL(a__sel(mark(x0), mark(x1)), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__SEL(sel(mark(x0), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__SEL(a__sel(mark(x0), mark(x1)), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__SEL(sel(mark(x0), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2 ---------------------------------------- (153) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (154) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2 ---------------------------------------- (155) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) by A__FIB(fib1(x0, x1)) -> c1(A__SEL(a__fib1(mark(x0), mark(x1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__SEL(a__fib1(mark(x0), mark(x1)), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__SEL(cons(mark(mark(x0)), fib1(mark(x1), add(mark(x0), mark(x1)))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__SEL(fib1(mark(x0), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) ---------------------------------------- (156) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__SEL(a__fib1(mark(x0), mark(x1)), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__SEL(cons(mark(mark(x0)), fib1(mark(x1), add(mark(x0), mark(x1)))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__SEL(fib1(mark(x0), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__SEL(a__fib1(mark(x0), mark(x1)), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__SEL(cons(mark(mark(x0)), fib1(mark(x1), add(mark(x0), mark(x1)))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__SEL(fib1(mark(x0), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2 ---------------------------------------- (157) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (158) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2 ---------------------------------------- (159) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) by A__FIB(add(x0, x1)) -> c1(A__SEL(a__add(mark(x0), mark(x1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__SEL(a__add(mark(x0), mark(x1)), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__SEL(add(mark(x0), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) ---------------------------------------- (160) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__SEL(a__add(mark(x0), mark(x1)), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__SEL(add(mark(x0), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__SEL(a__add(mark(x0), mark(x1)), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__SEL(add(mark(x0), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2 ---------------------------------------- (161) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (162) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2 ---------------------------------------- (163) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) by A__FIB(s(x0)) -> c1(A__SEL(s(mark(x0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__SEL(s(mark(x0)), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) ---------------------------------------- (164) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__SEL(s(mark(x0)), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__SEL(s(mark(x0)), fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2 ---------------------------------------- (165) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (166) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_2, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2 ---------------------------------------- (167) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__FIB(0) -> c1(A__SEL(0, a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) by A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, fib1(s(0), s(0))), A__FIB1(s(0), s(0))) ---------------------------------------- (168) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, fib1(s(0), s(0))), A__FIB1(s(0), s(0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, fib1(s(0), s(0))), A__FIB1(s(0), s(0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (169) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (170) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (171) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(x0), fib(z0)) -> c6(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) by A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1))), MARK(0)) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(A__ADD(cons(mark(z0), z1), a__fib(mark(x1))), MARK(cons(z0, z1))) ---------------------------------------- (172) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1))), MARK(0)) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(A__ADD(cons(mark(z0), z1), a__fib(mark(x1))), MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1))), MARK(0)) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(A__ADD(cons(mark(z0), z1), a__fib(mark(x1))), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (173) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (174) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (175) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(x0), sel(z0, z1)) -> c6(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) by A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(0)) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(A__ADD(cons(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(cons(z0, z1))) ---------------------------------------- (176) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(0)) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(A__ADD(cons(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(0)) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(A__ADD(cons(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (177) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (178) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (179) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(x0), fib1(z0, z1)) -> c6(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) by A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(0)) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(cons(mark(z0), z1), a__fib1(mark(x1), mark(x2))), MARK(cons(z0, z1))) ---------------------------------------- (180) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(0)) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(cons(mark(z0), z1), a__fib1(mark(x1), mark(x2))), MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(0)) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(cons(mark(z0), z1), a__fib1(mark(x1), mark(x2))), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (181) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (182) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (183) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(x0), add(z0, z1)) -> c6(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) by A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(0)) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(A__ADD(cons(mark(z0), z1), a__add(mark(x1), mark(x2))), MARK(cons(z0, z1))) ---------------------------------------- (184) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(0)) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(A__ADD(cons(mark(z0), z1), a__add(mark(x1), mark(x2))), MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(0)) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(A__ADD(cons(mark(z0), z1), a__add(mark(x1), mark(x2))), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (185) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (186) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (187) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(x0), s(z0)) -> c6(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) by A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1))), MARK(0)) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(A__ADD(cons(mark(z0), z1), s(mark(x1))), MARK(cons(z0, z1))) ---------------------------------------- (188) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1))), MARK(0)) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(A__ADD(cons(mark(z0), z1), s(mark(x1))), MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1))), MARK(0)) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(A__ADD(cons(mark(z0), z1), s(mark(x1))), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (189) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (190) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (191) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(x0), 0) -> c6(A__ADD(mark(x0), 0), MARK(x0)) by A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0), MARK(0)) A__ADD(s(cons(z0, z1)), 0) -> c6(A__ADD(cons(mark(z0), z1), 0), MARK(cons(z0, z1))) ---------------------------------------- (192) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0), MARK(0)) A__ADD(s(cons(z0, z1)), 0) -> c6(A__ADD(cons(mark(z0), z1), 0), MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0), MARK(0)) A__ADD(s(cons(z0, z1)), 0) -> c6(A__ADD(cons(mark(z0), z1), 0), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (193) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (194) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (195) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(x0), cons(z0, z1)) -> c6(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) by A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2)), MARK(0)) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(A__ADD(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(z0, z1))) ---------------------------------------- (196) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2)), MARK(0)) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(A__ADD(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2)), MARK(0)) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(A__ADD(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (197) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (198) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (199) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(fib(z0)), x1) -> c6(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) by A__ADD(s(fib(x0)), fib(z0)) -> c6(A__ADD(a__fib(mark(x0)), a__fib(mark(z0))), MARK(fib(x0))) A__ADD(s(fib(x0)), sel(z0, z1)) -> c6(A__ADD(a__fib(mark(x0)), a__sel(mark(z0), mark(z1))), MARK(fib(x0))) A__ADD(s(fib(x0)), fib1(z0, z1)) -> c6(A__ADD(a__fib(mark(x0)), a__fib1(mark(z0), mark(z1))), MARK(fib(x0))) A__ADD(s(fib(x0)), add(z0, z1)) -> c6(A__ADD(a__fib(mark(x0)), a__add(mark(z0), mark(z1))), MARK(fib(x0))) A__ADD(s(fib(x0)), s(z0)) -> c6(A__ADD(a__fib(mark(x0)), s(mark(z0))), MARK(fib(x0))) A__ADD(s(fib(x0)), 0) -> c6(A__ADD(a__fib(mark(x0)), 0), MARK(fib(x0))) A__ADD(s(fib(x0)), cons(z0, z1)) -> c6(A__ADD(a__fib(mark(x0)), cons(mark(z0), z1)), MARK(fib(x0))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(fib(mark(x0)), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) ---------------------------------------- (200) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(fib(mark(x0)), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(fib(mark(x0)), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (201) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (202) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (203) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(sel(z0, z1)), x1) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) by A__ADD(s(sel(x0, x1)), fib(z0)) -> c6(A__ADD(a__sel(mark(x0), mark(x1)), a__fib(mark(z0))), MARK(sel(x0, x1))) A__ADD(s(sel(x0, x1)), sel(z0, z1)) -> c6(A__ADD(a__sel(mark(x0), mark(x1)), a__sel(mark(z0), mark(z1))), MARK(sel(x0, x1))) A__ADD(s(sel(x0, x1)), fib1(z0, z1)) -> c6(A__ADD(a__sel(mark(x0), mark(x1)), a__fib1(mark(z0), mark(z1))), MARK(sel(x0, x1))) A__ADD(s(sel(x0, x1)), add(z0, z1)) -> c6(A__ADD(a__sel(mark(x0), mark(x1)), a__add(mark(z0), mark(z1))), MARK(sel(x0, x1))) A__ADD(s(sel(x0, x1)), s(z0)) -> c6(A__ADD(a__sel(mark(x0), mark(x1)), s(mark(z0))), MARK(sel(x0, x1))) A__ADD(s(sel(x0, x1)), 0) -> c6(A__ADD(a__sel(mark(x0), mark(x1)), 0), MARK(sel(x0, x1))) A__ADD(s(sel(x0, x1)), cons(z0, z1)) -> c6(A__ADD(a__sel(mark(x0), mark(x1)), cons(mark(z0), z1)), MARK(sel(x0, x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(A__ADD(sel(mark(x0), mark(x1)), mark(x2)), MARK(sel(x0, x1))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) ---------------------------------------- (204) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, x1)), x2) -> c6(A__ADD(sel(mark(x0), mark(x1)), mark(x2)), MARK(sel(x0, x1))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, x1)), x2) -> c6(A__ADD(sel(mark(x0), mark(x1)), mark(x2)), MARK(sel(x0, x1))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (205) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (206) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (207) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(fib1(z0, z1)), x1) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) by A__ADD(s(fib1(x0, x1)), fib(z0)) -> c6(A__ADD(a__fib1(mark(x0), mark(x1)), a__fib(mark(z0))), MARK(fib1(x0, x1))) A__ADD(s(fib1(x0, x1)), sel(z0, z1)) -> c6(A__ADD(a__fib1(mark(x0), mark(x1)), a__sel(mark(z0), mark(z1))), MARK(fib1(x0, x1))) A__ADD(s(fib1(x0, x1)), fib1(z0, z1)) -> c6(A__ADD(a__fib1(mark(x0), mark(x1)), a__fib1(mark(z0), mark(z1))), MARK(fib1(x0, x1))) A__ADD(s(fib1(x0, x1)), add(z0, z1)) -> c6(A__ADD(a__fib1(mark(x0), mark(x1)), a__add(mark(z0), mark(z1))), MARK(fib1(x0, x1))) A__ADD(s(fib1(x0, x1)), s(z0)) -> c6(A__ADD(a__fib1(mark(x0), mark(x1)), s(mark(z0))), MARK(fib1(x0, x1))) A__ADD(s(fib1(x0, x1)), 0) -> c6(A__ADD(a__fib1(mark(x0), mark(x1)), 0), MARK(fib1(x0, x1))) A__ADD(s(fib1(x0, x1)), cons(z0, z1)) -> c6(A__ADD(a__fib1(mark(x0), mark(x1)), cons(mark(z0), z1)), MARK(fib1(x0, x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(A__ADD(cons(mark(mark(x0)), fib1(mark(x1), add(mark(x0), mark(x1)))), mark(x2)), MARK(fib1(x0, x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(A__ADD(fib1(mark(x0), mark(x1)), mark(x2)), MARK(fib1(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) ---------------------------------------- (208) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(A__ADD(cons(mark(mark(x0)), fib1(mark(x1), add(mark(x0), mark(x1)))), mark(x2)), MARK(fib1(x0, x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(A__ADD(fib1(mark(x0), mark(x1)), mark(x2)), MARK(fib1(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(A__ADD(cons(mark(mark(x0)), fib1(mark(x1), add(mark(x0), mark(x1)))), mark(x2)), MARK(fib1(x0, x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(A__ADD(fib1(mark(x0), mark(x1)), mark(x2)), MARK(fib1(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (209) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (210) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (211) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(add(z0, z1)), x1) -> c6(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) by A__ADD(s(add(x0, x1)), fib(z0)) -> c6(A__ADD(a__add(mark(x0), mark(x1)), a__fib(mark(z0))), MARK(add(x0, x1))) A__ADD(s(add(x0, x1)), sel(z0, z1)) -> c6(A__ADD(a__add(mark(x0), mark(x1)), a__sel(mark(z0), mark(z1))), MARK(add(x0, x1))) A__ADD(s(add(x0, x1)), fib1(z0, z1)) -> c6(A__ADD(a__add(mark(x0), mark(x1)), a__fib1(mark(z0), mark(z1))), MARK(add(x0, x1))) A__ADD(s(add(x0, x1)), add(z0, z1)) -> c6(A__ADD(a__add(mark(x0), mark(x1)), a__add(mark(z0), mark(z1))), MARK(add(x0, x1))) A__ADD(s(add(x0, x1)), s(z0)) -> c6(A__ADD(a__add(mark(x0), mark(x1)), s(mark(z0))), MARK(add(x0, x1))) A__ADD(s(add(x0, x1)), 0) -> c6(A__ADD(a__add(mark(x0), mark(x1)), 0), MARK(add(x0, x1))) A__ADD(s(add(x0, x1)), cons(z0, z1)) -> c6(A__ADD(a__add(mark(x0), mark(x1)), cons(mark(z0), z1)), MARK(add(x0, x1))) A__ADD(s(add(x0, x1)), x2) -> c6(A__ADD(add(mark(x0), mark(x1)), mark(x2)), MARK(add(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) ---------------------------------------- (212) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, x1)), x2) -> c6(A__ADD(add(mark(x0), mark(x1)), mark(x2)), MARK(add(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, x1)), x2) -> c6(A__ADD(add(mark(x0), mark(x1)), mark(x2)), MARK(add(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (213) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (214) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2 ---------------------------------------- (215) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(s(z0)), x1) -> c6(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) by A__ADD(s(s(x0)), fib(z0)) -> c6(A__ADD(s(mark(x0)), a__fib(mark(z0))), MARK(s(x0))) A__ADD(s(s(x0)), sel(z0, z1)) -> c6(A__ADD(s(mark(x0)), a__sel(mark(z0), mark(z1))), MARK(s(x0))) A__ADD(s(s(x0)), fib1(z0, z1)) -> c6(A__ADD(s(mark(x0)), a__fib1(mark(z0), mark(z1))), MARK(s(x0))) A__ADD(s(s(x0)), add(z0, z1)) -> c6(A__ADD(s(mark(x0)), a__add(mark(z0), mark(z1))), MARK(s(x0))) A__ADD(s(s(x0)), s(z0)) -> c6(A__ADD(s(mark(x0)), s(mark(z0))), MARK(s(x0))) A__ADD(s(s(x0)), 0) -> c6(A__ADD(s(mark(x0)), 0), MARK(s(x0))) A__ADD(s(s(x0)), cons(z0, z1)) -> c6(A__ADD(s(mark(x0)), cons(mark(z0), z1)), MARK(s(x0))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) ---------------------------------------- (216) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2, c6_2 ---------------------------------------- (217) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(x0), fib(z0)) -> c7(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) by A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(A__ADD(cons(mark(z0), z1), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) ---------------------------------------- (218) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(A__ADD(cons(mark(z0), z1), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(A__ADD(cons(mark(z0), z1), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2, c6_2 ---------------------------------------- (219) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (220) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2, c6_2 ---------------------------------------- (221) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(x0), sel(z0, z1)) -> c7(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) by A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(A__ADD(cons(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) ---------------------------------------- (222) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(A__ADD(cons(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(A__ADD(cons(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2, c6_2 ---------------------------------------- (223) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (224) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2, c6_2 ---------------------------------------- (225) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(x0), fib1(z0, z1)) -> c7(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) by A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(cons(mark(z0), z1), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) ---------------------------------------- (226) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(cons(mark(z0), z1), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(cons(mark(z0), z1), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2, c6_2 ---------------------------------------- (227) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (228) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2, c6_2 ---------------------------------------- (229) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(x0), add(z0, z1)) -> c7(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) by A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(A__ADD(cons(mark(z0), z1), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) ---------------------------------------- (230) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(A__ADD(cons(mark(z0), z1), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(A__ADD(cons(mark(z0), z1), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2, c6_2 ---------------------------------------- (231) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (232) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(MARK(add(x1, x2))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(MARK(add(x1, x2))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2, c6_2 ---------------------------------------- (233) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(x0), s(z0)) -> c7(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) by A__ADD(s(x0), s(fib(z0))) -> c7(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(s(fib(z0)))) A__ADD(s(x0), s(sel(z0, z1))) -> c7(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(s(sel(z0, z1)))) A__ADD(s(x0), s(fib1(z0, z1))) -> c7(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(s(fib1(z0, z1)))) A__ADD(s(x0), s(add(z0, z1))) -> c7(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(s(add(z0, z1)))) A__ADD(s(x0), s(s(z0))) -> c7(A__ADD(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__ADD(s(x0), s(0)) -> c7(A__ADD(mark(x0), s(0)), MARK(s(0))) A__ADD(s(x0), s(cons(z0, z1))) -> c7(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__ADD(s(fib(z0)), s(x1)) -> c7(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(sel(z0, z1)), s(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(add(z0, z1)), s(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(s(z0)), s(x1)) -> c7(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(0), s(x1)) -> c7(A__ADD(0, s(mark(x1))), MARK(s(x1))) A__ADD(s(cons(z0, z1)), s(x1)) -> c7(A__ADD(cons(mark(z0), z1), s(mark(x1))), MARK(s(x1))) A__ADD(s(x0), s(x1)) -> c7(MARK(s(x1))) ---------------------------------------- (234) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(MARK(add(x1, x2))) A__ADD(s(x0), s(fib(z0))) -> c7(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(s(fib(z0)))) A__ADD(s(x0), s(sel(z0, z1))) -> c7(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(s(sel(z0, z1)))) A__ADD(s(x0), s(fib1(z0, z1))) -> c7(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(s(fib1(z0, z1)))) A__ADD(s(x0), s(add(z0, z1))) -> c7(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(s(add(z0, z1)))) A__ADD(s(x0), s(s(z0))) -> c7(A__ADD(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__ADD(s(x0), s(0)) -> c7(A__ADD(mark(x0), s(0)), MARK(s(0))) A__ADD(s(x0), s(cons(z0, z1))) -> c7(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__ADD(s(fib(z0)), s(x1)) -> c7(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(sel(z0, z1)), s(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(add(z0, z1)), s(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(s(z0)), s(x1)) -> c7(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(0), s(x1)) -> c7(A__ADD(0, s(mark(x1))), MARK(s(x1))) A__ADD(s(cons(z0, z1)), s(x1)) -> c7(A__ADD(cons(mark(z0), z1), s(mark(x1))), MARK(s(x1))) A__ADD(s(x0), s(x1)) -> c7(MARK(s(x1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(MARK(add(x1, x2))) A__ADD(s(x0), s(fib(z0))) -> c7(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(s(fib(z0)))) A__ADD(s(x0), s(sel(z0, z1))) -> c7(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(s(sel(z0, z1)))) A__ADD(s(x0), s(fib1(z0, z1))) -> c7(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(s(fib1(z0, z1)))) A__ADD(s(x0), s(add(z0, z1))) -> c7(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(s(add(z0, z1)))) A__ADD(s(x0), s(s(z0))) -> c7(A__ADD(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__ADD(s(x0), s(0)) -> c7(A__ADD(mark(x0), s(0)), MARK(s(0))) A__ADD(s(x0), s(cons(z0, z1))) -> c7(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__ADD(s(fib(z0)), s(x1)) -> c7(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(sel(z0, z1)), s(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(add(z0, z1)), s(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(s(z0)), s(x1)) -> c7(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(0), s(x1)) -> c7(A__ADD(0, s(mark(x1))), MARK(s(x1))) A__ADD(s(cons(z0, z1)), s(x1)) -> c7(A__ADD(cons(mark(z0), z1), s(mark(x1))), MARK(s(x1))) A__ADD(s(x0), s(x1)) -> c7(MARK(s(x1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2, c6_2 ---------------------------------------- (235) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (236) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(MARK(add(x1, x2))) A__ADD(s(x0), s(fib(z0))) -> c7(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(s(fib(z0)))) A__ADD(s(x0), s(sel(z0, z1))) -> c7(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(s(sel(z0, z1)))) A__ADD(s(x0), s(fib1(z0, z1))) -> c7(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(s(fib1(z0, z1)))) A__ADD(s(x0), s(add(z0, z1))) -> c7(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(s(add(z0, z1)))) A__ADD(s(x0), s(s(z0))) -> c7(A__ADD(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__ADD(s(x0), s(0)) -> c7(A__ADD(mark(x0), s(0)), MARK(s(0))) A__ADD(s(x0), s(cons(z0, z1))) -> c7(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__ADD(s(fib(z0)), s(x1)) -> c7(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(sel(z0, z1)), s(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(add(z0, z1)), s(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(s(z0)), s(x1)) -> c7(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(0), s(x1)) -> c7(A__ADD(0, s(mark(x1))), MARK(s(x1))) A__ADD(s(x0), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(cons(z0, z1)), s(x1)) -> c7(MARK(s(x1))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(MARK(add(x1, x2))) A__ADD(s(x0), s(fib(z0))) -> c7(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(s(fib(z0)))) A__ADD(s(x0), s(sel(z0, z1))) -> c7(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(s(sel(z0, z1)))) A__ADD(s(x0), s(fib1(z0, z1))) -> c7(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(s(fib1(z0, z1)))) A__ADD(s(x0), s(add(z0, z1))) -> c7(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(s(add(z0, z1)))) A__ADD(s(x0), s(s(z0))) -> c7(A__ADD(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__ADD(s(x0), s(0)) -> c7(A__ADD(mark(x0), s(0)), MARK(s(0))) A__ADD(s(x0), s(cons(z0, z1))) -> c7(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__ADD(s(fib(z0)), s(x1)) -> c7(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(sel(z0, z1)), s(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(add(z0, z1)), s(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(s(z0)), s(x1)) -> c7(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(0), s(x1)) -> c7(A__ADD(0, s(mark(x1))), MARK(s(x1))) A__ADD(s(x0), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(cons(z0, z1)), s(x1)) -> c7(MARK(s(x1))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2, c6_2 ---------------------------------------- (237) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(x0), cons(z0, z1)) -> c7(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) by A__ADD(s(x0), cons(fib(z0), x2)) -> c7(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(cons(fib(z0), x2))) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(cons(sel(z0, z1), x2))) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(cons(fib1(z0, z1), x2))) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(cons(add(z0, z1), x2))) A__ADD(s(x0), cons(s(z0), x2)) -> c7(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) A__ADD(s(x0), cons(0, x2)) -> c7(A__ADD(mark(x0), cons(0, x2)), MARK(cons(0, x2))) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) A__ADD(s(fib(z0)), cons(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(s(z0)), cons(x1, x2)) -> c7(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(0), cons(x1, x2)) -> c7(A__ADD(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c7(A__ADD(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(x0), cons(x1, x2)) -> c7(MARK(cons(x1, x2))) ---------------------------------------- (238) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(MARK(add(x1, x2))) A__ADD(s(x0), s(fib(z0))) -> c7(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(s(fib(z0)))) A__ADD(s(x0), s(sel(z0, z1))) -> c7(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(s(sel(z0, z1)))) A__ADD(s(x0), s(fib1(z0, z1))) -> c7(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(s(fib1(z0, z1)))) A__ADD(s(x0), s(add(z0, z1))) -> c7(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(s(add(z0, z1)))) A__ADD(s(x0), s(s(z0))) -> c7(A__ADD(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__ADD(s(x0), s(0)) -> c7(A__ADD(mark(x0), s(0)), MARK(s(0))) A__ADD(s(x0), s(cons(z0, z1))) -> c7(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__ADD(s(fib(z0)), s(x1)) -> c7(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(sel(z0, z1)), s(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(add(z0, z1)), s(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(s(z0)), s(x1)) -> c7(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(0), s(x1)) -> c7(A__ADD(0, s(mark(x1))), MARK(s(x1))) A__ADD(s(x0), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(cons(z0, z1)), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c7(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(cons(fib(z0), x2))) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(cons(sel(z0, z1), x2))) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(cons(fib1(z0, z1), x2))) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(cons(add(z0, z1), x2))) A__ADD(s(x0), cons(s(z0), x2)) -> c7(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) A__ADD(s(x0), cons(0, x2)) -> c7(A__ADD(mark(x0), cons(0, x2)), MARK(cons(0, x2))) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) A__ADD(s(fib(z0)), cons(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(s(z0)), cons(x1, x2)) -> c7(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(0), cons(x1, x2)) -> c7(A__ADD(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c7(A__ADD(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(x0), cons(x1, x2)) -> c7(MARK(cons(x1, x2))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(MARK(add(x1, x2))) A__ADD(s(x0), s(fib(z0))) -> c7(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(s(fib(z0)))) A__ADD(s(x0), s(sel(z0, z1))) -> c7(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(s(sel(z0, z1)))) A__ADD(s(x0), s(fib1(z0, z1))) -> c7(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(s(fib1(z0, z1)))) A__ADD(s(x0), s(add(z0, z1))) -> c7(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(s(add(z0, z1)))) A__ADD(s(x0), s(s(z0))) -> c7(A__ADD(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__ADD(s(x0), s(0)) -> c7(A__ADD(mark(x0), s(0)), MARK(s(0))) A__ADD(s(x0), s(cons(z0, z1))) -> c7(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__ADD(s(fib(z0)), s(x1)) -> c7(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(sel(z0, z1)), s(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(add(z0, z1)), s(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(s(z0)), s(x1)) -> c7(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(0), s(x1)) -> c7(A__ADD(0, s(mark(x1))), MARK(s(x1))) A__ADD(s(x0), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(cons(z0, z1)), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c7(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(cons(fib(z0), x2))) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(cons(sel(z0, z1), x2))) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(cons(fib1(z0, z1), x2))) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(cons(add(z0, z1), x2))) A__ADD(s(x0), cons(s(z0), x2)) -> c7(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) A__ADD(s(x0), cons(0, x2)) -> c7(A__ADD(mark(x0), cons(0, x2)), MARK(cons(0, x2))) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) A__ADD(s(fib(z0)), cons(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(s(z0)), cons(x1, x2)) -> c7(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(0), cons(x1, x2)) -> c7(A__ADD(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c7(A__ADD(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(x0), cons(x1, x2)) -> c7(MARK(cons(x1, x2))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2, c6_2 ---------------------------------------- (239) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (240) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(MARK(add(x1, x2))) A__ADD(s(x0), s(fib(z0))) -> c7(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(s(fib(z0)))) A__ADD(s(x0), s(sel(z0, z1))) -> c7(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(s(sel(z0, z1)))) A__ADD(s(x0), s(fib1(z0, z1))) -> c7(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(s(fib1(z0, z1)))) A__ADD(s(x0), s(add(z0, z1))) -> c7(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(s(add(z0, z1)))) A__ADD(s(x0), s(s(z0))) -> c7(A__ADD(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__ADD(s(x0), s(0)) -> c7(A__ADD(mark(x0), s(0)), MARK(s(0))) A__ADD(s(x0), s(cons(z0, z1))) -> c7(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__ADD(s(fib(z0)), s(x1)) -> c7(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(sel(z0, z1)), s(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(add(z0, z1)), s(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(s(z0)), s(x1)) -> c7(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(0), s(x1)) -> c7(A__ADD(0, s(mark(x1))), MARK(s(x1))) A__ADD(s(x0), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(cons(z0, z1)), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c7(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(cons(fib(z0), x2))) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(cons(sel(z0, z1), x2))) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(cons(fib1(z0, z1), x2))) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(cons(add(z0, z1), x2))) A__ADD(s(x0), cons(s(z0), x2)) -> c7(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) A__ADD(s(x0), cons(0, x2)) -> c7(A__ADD(mark(x0), cons(0, x2)), MARK(cons(0, x2))) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) A__ADD(s(fib(z0)), cons(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(s(z0)), cons(x1, x2)) -> c7(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(0), cons(x1, x2)) -> c7(A__ADD(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(x0), cons(x1, x2)) -> c7(MARK(cons(x1, x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c7(MARK(cons(x1, x2))) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(MARK(add(x1, x2))) A__ADD(s(x0), s(fib(z0))) -> c7(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(s(fib(z0)))) A__ADD(s(x0), s(sel(z0, z1))) -> c7(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(s(sel(z0, z1)))) A__ADD(s(x0), s(fib1(z0, z1))) -> c7(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(s(fib1(z0, z1)))) A__ADD(s(x0), s(add(z0, z1))) -> c7(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(s(add(z0, z1)))) A__ADD(s(x0), s(s(z0))) -> c7(A__ADD(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__ADD(s(x0), s(0)) -> c7(A__ADD(mark(x0), s(0)), MARK(s(0))) A__ADD(s(x0), s(cons(z0, z1))) -> c7(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__ADD(s(fib(z0)), s(x1)) -> c7(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(sel(z0, z1)), s(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(add(z0, z1)), s(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(s(z0)), s(x1)) -> c7(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(0), s(x1)) -> c7(A__ADD(0, s(mark(x1))), MARK(s(x1))) A__ADD(s(x0), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(cons(z0, z1)), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c7(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(cons(fib(z0), x2))) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(cons(sel(z0, z1), x2))) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(cons(fib1(z0, z1), x2))) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(cons(add(z0, z1), x2))) A__ADD(s(x0), cons(s(z0), x2)) -> c7(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) A__ADD(s(x0), cons(0, x2)) -> c7(A__ADD(mark(x0), cons(0, x2)), MARK(cons(0, x2))) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) A__ADD(s(fib(z0)), cons(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(s(z0)), cons(x1, x2)) -> c7(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(0), cons(x1, x2)) -> c7(A__ADD(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(x0), cons(x1, x2)) -> c7(MARK(cons(x1, x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c7(MARK(cons(x1, x2))) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2, c6_2 ---------------------------------------- (241) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ADD(s(fib(z0)), x1) -> c7(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) by A__ADD(s(fib(x0)), fib(z0)) -> c7(A__ADD(a__fib(mark(x0)), a__fib(mark(z0))), MARK(fib(z0))) A__ADD(s(fib(x0)), sel(z0, z1)) -> c7(A__ADD(a__fib(mark(x0)), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__ADD(s(fib(x0)), fib1(z0, z1)) -> c7(A__ADD(a__fib(mark(x0)), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__ADD(s(fib(x0)), add(z0, z1)) -> c7(A__ADD(a__fib(mark(x0)), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__ADD(s(fib(x0)), s(z0)) -> c7(A__ADD(a__fib(mark(x0)), s(mark(z0))), MARK(s(z0))) A__ADD(s(fib(x0)), 0) -> c7(A__ADD(a__fib(mark(x0)), 0), MARK(0)) A__ADD(s(fib(x0)), cons(z0, z1)) -> c7(A__ADD(a__fib(mark(x0)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c7(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(x1)) A__ADD(s(fib(x0)), x1) -> c7(A__ADD(fib(mark(x0)), mark(x1)), MARK(x1)) A__ADD(s(fib(fib(z0))), x1) -> c7(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(x1)) A__ADD(s(fib(sel(z0, z1))), x1) -> c7(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__ADD(s(fib(fib1(z0, z1))), x1) -> c7(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__ADD(s(fib(add(z0, z1))), x1) -> c7(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__ADD(s(fib(s(z0))), x1) -> c7(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(x1)) A__ADD(s(fib(0)), x1) -> c7(A__ADD(a__fib(0), mark(x1)), MARK(x1)) A__ADD(s(fib(cons(z0, z1))), x1) -> c7(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(x1)) ---------------------------------------- (242) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(MARK(add(x1, x2))) A__ADD(s(x0), s(fib(z0))) -> c7(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(s(fib(z0)))) A__ADD(s(x0), s(sel(z0, z1))) -> c7(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(s(sel(z0, z1)))) A__ADD(s(x0), s(fib1(z0, z1))) -> c7(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(s(fib1(z0, z1)))) A__ADD(s(x0), s(add(z0, z1))) -> c7(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(s(add(z0, z1)))) A__ADD(s(x0), s(s(z0))) -> c7(A__ADD(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__ADD(s(x0), s(0)) -> c7(A__ADD(mark(x0), s(0)), MARK(s(0))) A__ADD(s(x0), s(cons(z0, z1))) -> c7(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__ADD(s(fib(z0)), s(x1)) -> c7(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(sel(z0, z1)), s(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(add(z0, z1)), s(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(s(z0)), s(x1)) -> c7(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(0), s(x1)) -> c7(A__ADD(0, s(mark(x1))), MARK(s(x1))) A__ADD(s(x0), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(cons(z0, z1)), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c7(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(cons(fib(z0), x2))) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(cons(sel(z0, z1), x2))) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(cons(fib1(z0, z1), x2))) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(cons(add(z0, z1), x2))) A__ADD(s(x0), cons(s(z0), x2)) -> c7(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) A__ADD(s(x0), cons(0, x2)) -> c7(A__ADD(mark(x0), cons(0, x2)), MARK(cons(0, x2))) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) A__ADD(s(fib(z0)), cons(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(s(z0)), cons(x1, x2)) -> c7(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(0), cons(x1, x2)) -> c7(A__ADD(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(x0), cons(x1, x2)) -> c7(MARK(cons(x1, x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c7(MARK(cons(x1, x2))) A__ADD(s(fib(x0)), 0) -> c7(A__ADD(a__fib(mark(x0)), 0), MARK(0)) A__ADD(s(fib(x0)), x1) -> c7(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(x1)) A__ADD(s(fib(x0)), x1) -> c7(A__ADD(fib(mark(x0)), mark(x1)), MARK(x1)) A__ADD(s(fib(fib(z0))), x1) -> c7(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(x1)) A__ADD(s(fib(sel(z0, z1))), x1) -> c7(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__ADD(s(fib(fib1(z0, z1))), x1) -> c7(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__ADD(s(fib(add(z0, z1))), x1) -> c7(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__ADD(s(fib(s(z0))), x1) -> c7(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(x1)) A__ADD(s(fib(0)), x1) -> c7(A__ADD(a__fib(0), mark(x1)), MARK(x1)) A__ADD(s(fib(cons(z0, z1))), x1) -> c7(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(x1)) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(MARK(add(x1, x2))) A__ADD(s(x0), s(fib(z0))) -> c7(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(s(fib(z0)))) A__ADD(s(x0), s(sel(z0, z1))) -> c7(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(s(sel(z0, z1)))) A__ADD(s(x0), s(fib1(z0, z1))) -> c7(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(s(fib1(z0, z1)))) A__ADD(s(x0), s(add(z0, z1))) -> c7(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(s(add(z0, z1)))) A__ADD(s(x0), s(s(z0))) -> c7(A__ADD(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__ADD(s(x0), s(0)) -> c7(A__ADD(mark(x0), s(0)), MARK(s(0))) A__ADD(s(x0), s(cons(z0, z1))) -> c7(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__ADD(s(fib(z0)), s(x1)) -> c7(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(sel(z0, z1)), s(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(add(z0, z1)), s(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(s(z0)), s(x1)) -> c7(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(0), s(x1)) -> c7(A__ADD(0, s(mark(x1))), MARK(s(x1))) A__ADD(s(x0), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(cons(z0, z1)), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c7(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(cons(fib(z0), x2))) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(cons(sel(z0, z1), x2))) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(cons(fib1(z0, z1), x2))) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(cons(add(z0, z1), x2))) A__ADD(s(x0), cons(s(z0), x2)) -> c7(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) A__ADD(s(x0), cons(0, x2)) -> c7(A__ADD(mark(x0), cons(0, x2)), MARK(cons(0, x2))) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) A__ADD(s(fib(z0)), cons(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(s(z0)), cons(x1, x2)) -> c7(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(0), cons(x1, x2)) -> c7(A__ADD(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(x0), cons(x1, x2)) -> c7(MARK(cons(x1, x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c7(MARK(cons(x1, x2))) A__ADD(s(fib(x0)), 0) -> c7(A__ADD(a__fib(mark(x0)), 0), MARK(0)) A__ADD(s(fib(x0)), x1) -> c7(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(x1)) A__ADD(s(fib(x0)), x1) -> c7(A__ADD(fib(mark(x0)), mark(x1)), MARK(x1)) A__ADD(s(fib(fib(z0))), x1) -> c7(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(x1)) A__ADD(s(fib(sel(z0, z1))), x1) -> c7(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__ADD(s(fib(fib1(z0, z1))), x1) -> c7(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__ADD(s(fib(add(z0, z1))), x1) -> c7(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__ADD(s(fib(s(z0))), x1) -> c7(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(x1)) A__ADD(s(fib(0)), x1) -> c7(A__ADD(a__fib(0), mark(x1)), MARK(x1)) A__ADD(s(fib(cons(z0, z1))), x1) -> c7(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2, c6_2 ---------------------------------------- (243) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (244) Obligation: Complexity Dependency Tuples Problem Rules: a__fib(z0) -> a__sel(mark(z0), a__fib1(s(0), s(0))) a__fib(z0) -> fib(z0) a__fib1(z0, z1) -> cons(mark(z0), fib1(z1, add(z0, z1))) a__fib1(z0, z1) -> fib1(z0, z1) a__add(0, z0) -> mark(z0) a__add(s(z0), z1) -> s(a__add(mark(z0), mark(z1))) a__add(z0, z1) -> add(z0, z1) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) mark(fib(z0)) -> a__fib(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(fib1(z0, z1)) -> a__fib1(mark(z0), mark(z1)) mark(add(z0, z1)) -> a__add(mark(z0), mark(z1)) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 mark(cons(z0, z1)) -> cons(mark(z0), z1) Tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(MARK(add(x1, x2))) A__ADD(s(x0), s(fib(z0))) -> c7(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(s(fib(z0)))) A__ADD(s(x0), s(sel(z0, z1))) -> c7(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(s(sel(z0, z1)))) A__ADD(s(x0), s(fib1(z0, z1))) -> c7(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(s(fib1(z0, z1)))) A__ADD(s(x0), s(add(z0, z1))) -> c7(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(s(add(z0, z1)))) A__ADD(s(x0), s(s(z0))) -> c7(A__ADD(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__ADD(s(x0), s(0)) -> c7(A__ADD(mark(x0), s(0)), MARK(s(0))) A__ADD(s(x0), s(cons(z0, z1))) -> c7(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__ADD(s(fib(z0)), s(x1)) -> c7(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(sel(z0, z1)), s(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(add(z0, z1)), s(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(s(z0)), s(x1)) -> c7(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(0), s(x1)) -> c7(A__ADD(0, s(mark(x1))), MARK(s(x1))) A__ADD(s(x0), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(cons(z0, z1)), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c7(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(cons(fib(z0), x2))) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(cons(sel(z0, z1), x2))) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(cons(fib1(z0, z1), x2))) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(cons(add(z0, z1), x2))) A__ADD(s(x0), cons(s(z0), x2)) -> c7(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) A__ADD(s(x0), cons(0, x2)) -> c7(A__ADD(mark(x0), cons(0, x2)), MARK(cons(0, x2))) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) A__ADD(s(fib(z0)), cons(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(s(z0)), cons(x1, x2)) -> c7(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(0), cons(x1, x2)) -> c7(A__ADD(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(x0), cons(x1, x2)) -> c7(MARK(cons(x1, x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c7(MARK(cons(x1, x2))) A__ADD(s(fib(x0)), x1) -> c7(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(x1)) A__ADD(s(fib(fib(z0))), x1) -> c7(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(x1)) A__ADD(s(fib(sel(z0, z1))), x1) -> c7(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__ADD(s(fib(fib1(z0, z1))), x1) -> c7(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__ADD(s(fib(add(z0, z1))), x1) -> c7(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__ADD(s(fib(s(z0))), x1) -> c7(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(x1)) A__ADD(s(fib(0)), x1) -> c7(A__ADD(a__fib(0), mark(x1)), MARK(x1)) A__ADD(s(fib(cons(z0, z1))), x1) -> c7(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(x1)) A__ADD(s(fib(x0)), 0) -> c7(A__ADD(a__fib(mark(x0)), 0)) A__ADD(s(fib(x0)), x1) -> c7(MARK(x1)) S tuples: A__FIB1(z0, z1) -> c3(MARK(z0)) A__ADD(0, z0) -> c5(MARK(z0)) A__SEL(0, cons(z0, z1)) -> c9(MARK(z0)) MARK(fib(z0)) -> c13(A__FIB(mark(z0)), MARK(z0)) MARK(fib1(z0, z1)) -> c16(A__FIB1(mark(z0), mark(z1)), MARK(z0)) MARK(fib1(z0, z1)) -> c17(A__FIB1(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c20(MARK(z0)) MARK(cons(z0, z1)) -> c22(MARK(z0)) A__FIB(x0) -> c(MARK(x0)) A__FIB(cons(z0, z1)) -> c(MARK(cons(z0, z1))) A__FIB(x0) -> c1(A__FIB1(s(0), s(0))) A__FIB(cons(z0, z1)) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(0), x1) -> c6(A__ADD(0, mark(x1))) A__ADD(s(cons(z0, z1)), x1) -> c6(MARK(cons(z0, z1))) A__ADD(s(sel(z0, z1)), x1) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(fib1(z0, z1)), x1) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(add(z0, z1)), x1) -> c7(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__ADD(s(s(z0)), x1) -> c7(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) A__ADD(s(0), x1) -> c7(A__ADD(0, mark(x1)), MARK(x1)) A__ADD(s(x0), 0) -> c7(A__ADD(mark(x0), 0)) A__ADD(s(cons(z0, z1)), x1) -> c7(MARK(x1)) A__SEL(s(x0), cons(x1, fib(z0))) -> c10(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c10(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c10(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c10(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c10(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__SEL(s(fib(z0)), cons(x1, x2)) -> c10(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(fib(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(fib1(z0, z1))) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c10(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(add(z0, z1))) A__SEL(s(s(z0)), cons(x1, x2)) -> c10(A__SEL(s(mark(z0)), mark(x2)), MARK(s(z0))) A__SEL(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c10(A__SEL(0, mark(x2))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c10(MARK(cons(z0, z1))) A__SEL(s(x0), cons(x1, fib(z0))) -> c11(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c11(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, fib1(z0, z1))) -> c11(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) A__SEL(s(x0), cons(x1, add(z0, z1))) -> c11(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c11(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SEL(s(fib(z0)), cons(x1, x2)) -> c11(A__SEL(a__fib(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(fib1(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(add(z0, z1)), cons(x1, x2)) -> c11(A__SEL(a__add(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c11(A__SEL(s(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c11(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c11(MARK(x2)) MARK(sel(x0, fib(z0))) -> c14(A__SEL(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c14(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, fib1(z0, z1))) -> c14(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, add(z0, z1))) -> c14(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c14(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(sel(fib(z0), x1)) -> c14(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(sel(sel(z0, z1), x1)) -> c14(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(fib1(z0, z1), x1)) -> c14(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(sel(add(z0, z1), x1)) -> c14(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(sel(s(z0), x1)) -> c14(A__SEL(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(sel(x0, s(z0))) -> c14(MARK(x0)) MARK(sel(x0, 0)) -> c14(MARK(x0)) MARK(sel(0, x1)) -> c14(A__SEL(0, mark(x1))) MARK(sel(cons(z0, z1), x1)) -> c14(MARK(cons(z0, z1))) MARK(sel(x0, fib(z0))) -> c15(A__SEL(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(sel(x0, sel(z0, z1))) -> c15(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, fib1(z0, z1))) -> c15(A__SEL(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(sel(x0, add(z0, z1))) -> c15(A__SEL(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(sel(x0, cons(z0, z1))) -> c15(A__SEL(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(sel(fib(z0), x1)) -> c15(A__SEL(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c15(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(fib1(z0, z1), x1)) -> c15(A__SEL(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(add(z0, z1), x1)) -> c15(A__SEL(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c15(A__SEL(s(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c15(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(x0, s(z0))) -> c15(MARK(s(z0))) MARK(sel(cons(z0, z1), x1)) -> c15(MARK(x1)) MARK(add(x0, fib(z0))) -> c18(A__ADD(mark(x0), a__fib(mark(z0))), MARK(x0)) MARK(add(x0, sel(z0, z1))) -> c18(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, fib1(z0, z1))) -> c18(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, add(z0, z1))) -> c18(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(x0)) MARK(add(x0, s(z0))) -> c18(A__ADD(mark(x0), s(mark(z0))), MARK(x0)) MARK(add(x0, 0)) -> c18(A__ADD(mark(x0), 0), MARK(x0)) MARK(add(x0, cons(z0, z1))) -> c18(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(add(fib(z0), x1)) -> c18(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(fib(z0))) MARK(add(sel(z0, z1), x1)) -> c18(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(add(fib1(z0, z1), x1)) -> c18(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(fib1(z0, z1))) MARK(add(add(z0, z1), x1)) -> c18(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(add(z0, z1))) MARK(add(s(z0), x1)) -> c18(A__ADD(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(add(0, x1)) -> c18(A__ADD(0, mark(x1))) MARK(add(cons(z0, z1), x1)) -> c18(MARK(cons(z0, z1))) MARK(add(x0, fib(z0))) -> c19(A__ADD(mark(x0), a__fib(mark(z0))), MARK(fib(z0))) MARK(add(x0, sel(z0, z1))) -> c19(A__ADD(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(add(x0, fib1(z0, z1))) -> c19(A__ADD(mark(x0), a__fib1(mark(z0), mark(z1))), MARK(fib1(z0, z1))) MARK(add(x0, add(z0, z1))) -> c19(A__ADD(mark(x0), a__add(mark(z0), mark(z1))), MARK(add(z0, z1))) MARK(add(x0, s(z0))) -> c19(A__ADD(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(add(x0, cons(z0, z1))) -> c19(A__ADD(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(add(fib(z0), x1)) -> c19(A__ADD(a__fib(mark(z0)), mark(x1)), MARK(x1)) MARK(add(sel(z0, z1), x1)) -> c19(A__ADD(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(fib1(z0, z1), x1)) -> c19(A__ADD(a__fib1(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(add(z0, z1), x1)) -> c19(A__ADD(a__add(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(add(s(z0), x1)) -> c19(A__ADD(s(mark(z0)), mark(x1)), MARK(x1)) MARK(add(0, x1)) -> c19(A__ADD(0, mark(x1)), MARK(x1)) MARK(add(x0, 0)) -> c19(A__ADD(mark(x0), 0)) MARK(add(cons(z0, z1), x1)) -> c19(MARK(x1)) A__FIB(x0) -> c(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), MARK(x0)) A__FIB(fib(z0)) -> c(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib(z0))) A__FIB(sel(z0, z1)) -> c(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(sel(z0, z1))) A__FIB(fib1(z0, z1)) -> c(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(fib1(z0, z1))) A__FIB(add(z0, z1)) -> c(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(add(z0, z1))) A__FIB(s(z0)) -> c(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), MARK(s(z0))) A__FIB(0) -> c(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0)))))) A__FIB(fib(x0)) -> c(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), MARK(fib(x0))) A__FIB(fib(fib(z0))) -> c(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(fib(z0)))) A__FIB(fib(sel(z0, z1))) -> c(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(sel(z0, z1)))) A__FIB(fib(fib1(z0, z1))) -> c(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(fib1(z0, z1)))) A__FIB(fib(add(z0, z1))) -> c(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib(add(z0, z1)))) A__FIB(fib(s(z0))) -> c(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib(s(z0)))) A__FIB(fib(0)) -> c(A__SEL(a__fib(0), a__fib1(s(0), s(0))), MARK(fib(0))) A__FIB(fib(cons(z0, z1))) -> c(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib(cons(z0, z1)))) A__FIB(fib(x0)) -> c(MARK(fib(x0))) A__FIB(sel(x0, fib(z0))) -> c(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, fib(z0)))) A__FIB(sel(x0, sel(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, sel(z0, z1)))) A__FIB(sel(x0, fib1(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, fib1(z0, z1)))) A__FIB(sel(x0, add(z0, z1))) -> c(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(sel(x0, add(z0, z1)))) A__FIB(sel(x0, s(z0))) -> c(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(sel(x0, s(z0)))) A__FIB(sel(x0, 0)) -> c(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), MARK(sel(x0, 0))) A__FIB(sel(x0, cons(z0, z1))) -> c(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(sel(x0, cons(z0, z1)))) A__FIB(sel(fib(z0), x1)) -> c(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib(z0), x1))) A__FIB(sel(sel(z0, z1), x1)) -> c(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(sel(z0, z1), x1))) A__FIB(sel(fib1(z0, z1), x1)) -> c(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(fib1(z0, z1), x1))) A__FIB(sel(add(z0, z1), x1)) -> c(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(add(z0, z1), x1))) A__FIB(sel(s(z0), x1)) -> c(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(s(z0), x1))) A__FIB(sel(0, x1)) -> c(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), MARK(sel(0, x1))) A__FIB(sel(cons(z0, z1), x1)) -> c(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(sel(cons(z0, z1), x1))) A__FIB(sel(x0, x1)) -> c(MARK(sel(x0, x1))) A__FIB(fib1(x0, fib(z0))) -> c(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib(z0)))) A__FIB(fib1(x0, sel(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, sel(z0, z1)))) A__FIB(fib1(x0, fib1(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, fib1(z0, z1)))) A__FIB(fib1(x0, add(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(fib1(x0, add(z0, z1)))) A__FIB(fib1(x0, s(z0))) -> c(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(fib1(x0, s(z0)))) A__FIB(fib1(x0, 0)) -> c(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), MARK(fib1(x0, 0))) A__FIB(fib1(x0, cons(z0, z1))) -> c(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(fib1(x0, cons(z0, z1)))) A__FIB(fib1(fib(z0), x1)) -> c(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib(z0), x1))) A__FIB(fib1(sel(z0, z1), x1)) -> c(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(sel(z0, z1), x1))) A__FIB(fib1(fib1(z0, z1), x1)) -> c(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(fib1(z0, z1), x1))) A__FIB(fib1(add(z0, z1), x1)) -> c(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(add(z0, z1), x1))) A__FIB(fib1(s(z0), x1)) -> c(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(s(z0), x1))) A__FIB(fib1(0, x1)) -> c(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(0, x1))) A__FIB(fib1(cons(z0, z1), x1)) -> c(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(fib1(cons(z0, z1), x1))) A__FIB(fib1(x0, x1)) -> c(MARK(fib1(x0, x1))) A__FIB(add(x0, fib(z0))) -> c(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, fib(z0)))) A__FIB(add(x0, sel(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, sel(z0, z1)))) A__FIB(add(x0, fib1(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, fib1(z0, z1)))) A__FIB(add(x0, add(z0, z1))) -> c(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(add(x0, add(z0, z1)))) A__FIB(add(x0, s(z0))) -> c(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), MARK(add(x0, s(z0)))) A__FIB(add(x0, 0)) -> c(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), MARK(add(x0, 0))) A__FIB(add(x0, cons(z0, z1))) -> c(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(add(x0, cons(z0, z1)))) A__FIB(add(fib(z0), x1)) -> c(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib(z0), x1))) A__FIB(add(sel(z0, z1), x1)) -> c(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(sel(z0, z1), x1))) A__FIB(add(fib1(z0, z1), x1)) -> c(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(fib1(z0, z1), x1))) A__FIB(add(add(z0, z1), x1)) -> c(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(add(z0, z1), x1))) A__FIB(add(s(z0), x1)) -> c(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), MARK(add(s(z0), x1))) A__FIB(add(0, x1)) -> c(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), MARK(add(0, x1))) A__FIB(add(cons(z0, z1), x1)) -> c(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), MARK(add(cons(z0, z1), x1))) A__FIB(add(x0, x1)) -> c(MARK(add(x0, x1))) A__FIB(s(fib(z0))) -> c(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), MARK(s(fib(z0)))) A__FIB(s(sel(z0, z1))) -> c(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(sel(z0, z1)))) A__FIB(s(fib1(z0, z1))) -> c(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(fib1(z0, z1)))) A__FIB(s(add(z0, z1))) -> c(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), MARK(s(add(z0, z1)))) A__FIB(s(s(z0))) -> c(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), MARK(s(s(z0)))) A__FIB(s(0)) -> c(A__SEL(s(0), a__fib1(s(0), s(0))), MARK(s(0))) A__FIB(s(cons(z0, z1))) -> c(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), MARK(s(cons(z0, z1)))) A__FIB(s(x0)) -> c(MARK(s(x0))) A__FIB(x0) -> c1(A__SEL(mark(x0), cons(s(mark(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(z0)) -> c1(A__SEL(a__fib(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(sel(z0, z1)) -> c1(A__SEL(a__sel(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib1(z0, z1)) -> c1(A__SEL(a__fib1(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(add(z0, z1)) -> c1(A__SEL(a__add(mark(z0), mark(z1)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(s(z0)) -> c1(A__SEL(s(mark(z0)), cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__SEL(0, cons(mark(s(0)), fib1(s(0), add(s(0), s(0))))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__SEL(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib(z0))) -> c1(A__SEL(a__fib(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(sel(z0, z1))) -> c1(A__SEL(a__fib(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(fib1(z0, z1))) -> c1(A__SEL(a__fib(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(add(z0, z1))) -> c1(A__SEL(a__fib(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(s(z0))) -> c1(A__SEL(a__fib(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(0)) -> c1(A__SEL(a__fib(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(cons(z0, z1))) -> c1(A__SEL(a__fib(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib(z0))) -> c1(A__SEL(a__sel(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, sel(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, fib1(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, add(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, s(z0))) -> c1(A__SEL(a__sel(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, 0)) -> c1(A__SEL(a__sel(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, cons(z0, z1))) -> c1(A__SEL(a__sel(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib(z0), x1)) -> c1(A__SEL(a__sel(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(sel(z0, z1), x1)) -> c1(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(fib1(z0, z1), x1)) -> c1(A__SEL(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(add(z0, z1), x1)) -> c1(A__SEL(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(s(z0), x1)) -> c1(A__SEL(a__sel(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(0, x1)) -> c1(A__SEL(a__sel(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(cons(z0, z1), x1)) -> c1(A__SEL(a__sel(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(sel(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib(z0))) -> c1(A__SEL(a__fib1(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, sel(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, fib1(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, add(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, s(z0))) -> c1(A__SEL(a__fib1(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, 0)) -> c1(A__SEL(a__fib1(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, cons(z0, z1))) -> c1(A__SEL(a__fib1(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib(z0), x1)) -> c1(A__SEL(a__fib1(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(sel(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(fib1(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(add(z0, z1), x1)) -> c1(A__SEL(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(s(z0), x1)) -> c1(A__SEL(a__fib1(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(0, x1)) -> c1(A__SEL(a__fib1(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(cons(z0, z1), x1)) -> c1(A__SEL(a__fib1(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(fib1(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(add(x0, fib(z0))) -> c1(A__SEL(a__add(mark(x0), a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, sel(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, fib1(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, add(z0, z1))) -> c1(A__SEL(a__add(mark(x0), a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, s(z0))) -> c1(A__SEL(a__add(mark(x0), s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, 0)) -> c1(A__SEL(a__add(mark(x0), 0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, cons(z0, z1))) -> c1(A__SEL(a__add(mark(x0), cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib(z0), x1)) -> c1(A__SEL(a__add(a__fib(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(sel(z0, z1), x1)) -> c1(A__SEL(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(fib1(z0, z1), x1)) -> c1(A__SEL(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(add(z0, z1), x1)) -> c1(A__SEL(a__add(a__add(mark(z0), mark(z1)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(s(z0), x1)) -> c1(A__SEL(a__add(s(mark(z0)), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(0, x1)) -> c1(A__SEL(a__add(0, mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(cons(z0, z1), x1)) -> c1(A__SEL(a__add(cons(mark(z0), z1), mark(x1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(add(x0, x1)) -> c1(A__FIB1(s(0), s(0))) A__FIB(s(fib(z0))) -> c1(A__SEL(s(a__fib(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(sel(z0, z1))) -> c1(A__SEL(s(a__sel(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(fib1(z0, z1))) -> c1(A__SEL(s(a__fib1(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(add(z0, z1))) -> c1(A__SEL(s(a__add(mark(z0), mark(z1))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(s(z0))) -> c1(A__SEL(s(s(mark(z0))), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(0)) -> c1(A__SEL(s(0), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(cons(z0, z1))) -> c1(A__SEL(s(cons(mark(z0), z1)), a__fib1(s(0), s(0))), A__FIB1(s(0), s(0))) A__FIB(s(x0)) -> c1(A__FIB1(s(0), s(0))) A__FIB(0) -> c1(A__FIB1(s(0), s(0))) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(x0)) A__ADD(s(x0), fib(x1)) -> c6(A__ADD(mark(x0), fib(mark(x1))), MARK(x0)) A__ADD(s(x0), fib(fib(z0))) -> c6(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib(s(z0))) -> c6(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib(0)) -> c6(A__ADD(mark(x0), a__fib(0)), MARK(x0)) A__ADD(s(x0), fib(cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), fib(x1)) -> c6(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib(x1)) -> c6(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(s(z0))) A__ADD(s(0), fib(x1)) -> c6(A__ADD(0, a__fib(mark(x1)))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), sel(x1, x2)) -> c6(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), sel(x1, s(z0))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), sel(x1, 0)) -> c6(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), sel(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(s(z0), x2)) -> c6(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), sel(0, x2)) -> c6(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(x0)) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), sel(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), sel(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), sel(x1, x2)) -> c6(A__ADD(0, a__sel(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(x0)) A__ADD(s(x0), fib1(x1, x2)) -> c6(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), fib1(x1, s(z0))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), fib1(x1, 0)) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), fib1(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(s(z0), x2)) -> c6(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(0, x2)) -> c6(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(x0)) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), fib1(x1, x2)) -> c6(A__ADD(0, a__fib1(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), add(x1, x2)) -> c6(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(x0)) A__ADD(s(x0), add(x1, fib(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, add(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), add(x1, s(z0))) -> c6(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(x0)) A__ADD(s(x0), add(x1, 0)) -> c6(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(x0)) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c6(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(x0)) A__ADD(s(x0), add(fib(z0), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(s(z0), x2)) -> c6(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(x0)) A__ADD(s(x0), add(0, x2)) -> c6(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(x0)) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(x0)) A__ADD(s(fib(z0)), add(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(z0, z1))) A__ADD(s(s(z0)), add(x1, x2)) -> c6(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(s(z0))) A__ADD(s(0), add(x1, x2)) -> c6(A__ADD(0, a__add(mark(x1), mark(x2)))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), s(fib(z0))) -> c6(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(sel(z0, z1))) -> c6(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(fib1(z0, z1))) -> c6(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(add(z0, z1))) -> c6(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(x0)) A__ADD(s(x0), s(s(z0))) -> c6(A__ADD(mark(x0), s(s(mark(z0)))), MARK(x0)) A__ADD(s(x0), s(0)) -> c6(A__ADD(mark(x0), s(0)), MARK(x0)) A__ADD(s(x0), s(cons(z0, z1))) -> c6(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__ADD(s(fib(z0)), s(x1)) -> c6(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), s(x1)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), s(x1)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(add(z0, z1))) A__ADD(s(s(z0)), s(x1)) -> c6(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(z0))) A__ADD(s(0), s(x1)) -> c6(A__ADD(0, s(mark(x1)))) A__ADD(s(cons(z0, z1)), s(x1)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(z0)), 0) -> c6(A__ADD(a__fib(mark(z0)), 0), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), 0) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), 0), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), 0) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), 0), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), 0) -> c6(A__ADD(a__add(mark(z0), mark(z1)), 0), MARK(add(z0, z1))) A__ADD(s(s(z0)), 0) -> c6(A__ADD(s(mark(z0)), 0), MARK(s(z0))) A__ADD(s(0), 0) -> c6(A__ADD(0, 0)) A__ADD(s(cons(z0, z1)), 0) -> c6(MARK(cons(z0, z1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c6(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(x0)) A__ADD(s(x0), cons(s(z0), x2)) -> c6(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) A__ADD(s(x0), cons(0, x2)) -> c6(A__ADD(mark(x0), cons(0, x2)), MARK(x0)) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c6(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) A__ADD(s(fib(z0)), cons(x1, x2)) -> c6(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(fib(z0))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(sel(z0, z1))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(fib1(z0, z1))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c6(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(add(z0, z1))) A__ADD(s(s(z0)), cons(x1, x2)) -> c6(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) A__ADD(s(0), cons(x1, x2)) -> c6(A__ADD(0, cons(mark(x1), x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c6(MARK(cons(z0, z1))) A__ADD(s(fib(x0)), x1) -> c6(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(fib(x0))) A__ADD(s(fib(fib(z0))), x1) -> c6(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(fib(fib(z0)))) A__ADD(s(fib(sel(z0, z1))), x1) -> c6(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(fib(sel(z0, z1)))) A__ADD(s(fib(fib1(z0, z1))), x1) -> c6(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(fib(fib1(z0, z1)))) A__ADD(s(fib(add(z0, z1))), x1) -> c6(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(fib(add(z0, z1)))) A__ADD(s(fib(s(z0))), x1) -> c6(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(fib(s(z0)))) A__ADD(s(fib(0)), x1) -> c6(A__ADD(a__fib(0), mark(x1)), MARK(fib(0))) A__ADD(s(fib(cons(z0, z1))), x1) -> c6(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(x0)), x1) -> c6(MARK(fib(x0))) A__ADD(s(sel(x0, fib(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(sel(x0, fib(z0)))) A__ADD(s(sel(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) A__ADD(s(sel(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, fib1(z0, z1)))) A__ADD(s(sel(x0, add(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, add(z0, z1)))) A__ADD(s(sel(x0, s(z0))), x2) -> c6(A__ADD(a__sel(mark(x0), s(mark(z0))), mark(x2)), MARK(sel(x0, s(z0)))) A__ADD(s(sel(x0, 0)), x2) -> c6(A__ADD(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) A__ADD(s(sel(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__sel(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) A__ADD(s(sel(fib(z0), x1)), x2) -> c6(A__ADD(a__sel(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(sel(fib(z0), x1))) A__ADD(s(sel(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) A__ADD(s(sel(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(fib1(z0, z1), x1))) A__ADD(s(sel(add(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(add(z0, z1), x1))) A__ADD(s(sel(s(z0), x1)), x2) -> c6(A__ADD(a__sel(s(mark(z0)), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) A__ADD(s(sel(0, x1)), x2) -> c6(A__ADD(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) A__ADD(s(sel(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__sel(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) A__ADD(s(sel(x0, x1)), x2) -> c6(MARK(sel(x0, x1))) A__ADD(s(fib1(x0, fib(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(fib1(x0, fib(z0)))) A__ADD(s(fib1(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, sel(z0, z1)))) A__ADD(s(fib1(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, fib1(z0, z1)))) A__ADD(s(fib1(x0, add(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(fib1(x0, add(z0, z1)))) A__ADD(s(fib1(x0, s(z0))), x2) -> c6(A__ADD(a__fib1(mark(x0), s(mark(z0))), mark(x2)), MARK(fib1(x0, s(z0)))) A__ADD(s(fib1(x0, 0)), x2) -> c6(A__ADD(a__fib1(mark(x0), 0), mark(x2)), MARK(fib1(x0, 0))) A__ADD(s(fib1(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__fib1(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(fib1(x0, cons(z0, z1)))) A__ADD(s(fib1(fib(z0), x1)), x2) -> c6(A__ADD(a__fib1(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(fib(z0), x1))) A__ADD(s(fib1(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(sel(z0, z1), x1))) A__ADD(s(fib1(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(fib1(z0, z1), x1))) A__ADD(s(fib1(add(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(fib1(add(z0, z1), x1))) A__ADD(s(fib1(s(z0), x1)), x2) -> c6(A__ADD(a__fib1(s(mark(z0)), mark(x1)), mark(x2)), MARK(fib1(s(z0), x1))) A__ADD(s(fib1(0, x1)), x2) -> c6(A__ADD(a__fib1(0, mark(x1)), mark(x2)), MARK(fib1(0, x1))) A__ADD(s(fib1(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__fib1(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(fib1(cons(z0, z1), x1))) A__ADD(s(fib1(x0, x1)), x2) -> c6(MARK(fib1(x0, x1))) A__ADD(s(add(x0, fib(z0))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib(mark(z0))), mark(x2)), MARK(add(x0, fib(z0)))) A__ADD(s(add(x0, sel(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, sel(z0, z1)))) A__ADD(s(add(x0, fib1(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__fib1(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, fib1(z0, z1)))) A__ADD(s(add(x0, add(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), a__add(mark(z0), mark(z1))), mark(x2)), MARK(add(x0, add(z0, z1)))) A__ADD(s(add(x0, s(z0))), x2) -> c6(A__ADD(a__add(mark(x0), s(mark(z0))), mark(x2)), MARK(add(x0, s(z0)))) A__ADD(s(add(x0, 0)), x2) -> c6(A__ADD(a__add(mark(x0), 0), mark(x2)), MARK(add(x0, 0))) A__ADD(s(add(x0, cons(z0, z1))), x2) -> c6(A__ADD(a__add(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(add(x0, cons(z0, z1)))) A__ADD(s(add(fib(z0), x1)), x2) -> c6(A__ADD(a__add(a__fib(mark(z0)), mark(x1)), mark(x2)), MARK(add(fib(z0), x1))) A__ADD(s(add(sel(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(sel(z0, z1), x1))) A__ADD(s(add(fib1(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__fib1(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(fib1(z0, z1), x1))) A__ADD(s(add(add(z0, z1), x1)), x2) -> c6(A__ADD(a__add(a__add(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(add(add(z0, z1), x1))) A__ADD(s(add(s(z0), x1)), x2) -> c6(A__ADD(a__add(s(mark(z0)), mark(x1)), mark(x2)), MARK(add(s(z0), x1))) A__ADD(s(add(0, x1)), x2) -> c6(A__ADD(a__add(0, mark(x1)), mark(x2)), MARK(add(0, x1))) A__ADD(s(add(cons(z0, z1), x1)), x2) -> c6(A__ADD(a__add(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(add(cons(z0, z1), x1))) A__ADD(s(add(x0, x1)), x2) -> c6(MARK(add(x0, x1))) A__ADD(s(s(fib(z0))), x1) -> c6(A__ADD(s(a__fib(mark(z0))), mark(x1)), MARK(s(fib(z0)))) A__ADD(s(s(sel(z0, z1))), x1) -> c6(A__ADD(s(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(s(sel(z0, z1)))) A__ADD(s(s(fib1(z0, z1))), x1) -> c6(A__ADD(s(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(s(fib1(z0, z1)))) A__ADD(s(s(add(z0, z1))), x1) -> c6(A__ADD(s(a__add(mark(z0), mark(z1))), mark(x1)), MARK(s(add(z0, z1)))) A__ADD(s(s(s(z0))), x1) -> c6(A__ADD(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) A__ADD(s(s(0)), x1) -> c6(A__ADD(s(0), mark(x1)), MARK(s(0))) A__ADD(s(s(cons(z0, z1))), x1) -> c6(A__ADD(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) A__ADD(s(s(x0)), x1) -> c6(MARK(s(x0))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), a__sel(mark(mark(x1)), a__fib1(s(0), s(0)))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(A__ADD(mark(x0), fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(fib(z0))) -> c7(A__ADD(mark(x0), a__fib(a__fib(mark(z0)))), MARK(fib(fib(z0)))) A__ADD(s(x0), fib(sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__sel(mark(z0), mark(z1)))), MARK(fib(sel(z0, z1)))) A__ADD(s(x0), fib(fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__fib1(mark(z0), mark(z1)))), MARK(fib(fib1(z0, z1)))) A__ADD(s(x0), fib(add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(a__add(mark(z0), mark(z1)))), MARK(fib(add(z0, z1)))) A__ADD(s(x0), fib(s(z0))) -> c7(A__ADD(mark(x0), a__fib(s(mark(z0)))), MARK(fib(s(z0)))) A__ADD(s(x0), fib(0)) -> c7(A__ADD(mark(x0), a__fib(0)), MARK(fib(0))) A__ADD(s(x0), fib(cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib(cons(mark(z0), z1))), MARK(fib(cons(z0, z1)))) A__ADD(s(fib(z0)), fib(x1)) -> c7(A__ADD(a__fib(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(sel(z0, z1)), fib(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(fib1(z0, z1)), fib(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(add(z0, z1)), fib(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(s(z0)), fib(x1)) -> c7(A__ADD(s(mark(z0)), a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(0), fib(x1)) -> c7(A__ADD(0, a__fib(mark(x1))), MARK(fib(x1))) A__ADD(s(x0), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(cons(z0, z1)), fib(x1)) -> c7(MARK(fib(x1))) A__ADD(s(x0), sel(x1, x2)) -> c7(A__ADD(mark(x0), sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(x0), sel(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib(mark(z0)))), MARK(sel(x1, fib(z0)))) A__ADD(s(x0), sel(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(sel(x1, sel(z0, z1)))) A__ADD(s(x0), sel(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(sel(x1, fib1(z0, z1)))) A__ADD(s(x0), sel(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), a__add(mark(z0), mark(z1)))), MARK(sel(x1, add(z0, z1)))) A__ADD(s(x0), sel(x1, s(z0))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), s(mark(z0)))), MARK(sel(x1, s(z0)))) A__ADD(s(x0), sel(x1, 0)) -> c7(A__ADD(mark(x0), a__sel(mark(x1), 0)), MARK(sel(x1, 0))) A__ADD(s(x0), sel(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__sel(mark(x1), cons(mark(z0), z1))), MARK(sel(x1, cons(z0, z1)))) A__ADD(s(x0), sel(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib(mark(z0)), mark(x2))), MARK(sel(fib(z0), x2))) A__ADD(s(x0), sel(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(sel(sel(z0, z1), x2))) A__ADD(s(x0), sel(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(sel(fib1(z0, z1), x2))) A__ADD(s(x0), sel(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(a__add(mark(z0), mark(z1)), mark(x2))), MARK(sel(add(z0, z1), x2))) A__ADD(s(x0), sel(s(z0), x2)) -> c7(A__ADD(mark(x0), a__sel(s(mark(z0)), mark(x2))), MARK(sel(s(z0), x2))) A__ADD(s(x0), sel(0, x2)) -> c7(A__ADD(mark(x0), a__sel(0, mark(x2))), MARK(sel(0, x2))) A__ADD(s(x0), sel(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__sel(cons(mark(z0), z1), mark(x2))), MARK(sel(cons(z0, z1), x2))) A__ADD(s(fib(z0)), sel(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(sel(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(fib1(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(add(z0, z1)), sel(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(s(z0)), sel(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(0), sel(x1, x2)) -> c7(A__ADD(0, a__sel(mark(x1), mark(x2))), MARK(sel(x1, x2))) A__ADD(s(cons(z0, z1)), sel(x1, x2)) -> c7(MARK(sel(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), cons(mark(mark(x1)), fib1(mark(x2), add(mark(x1), mark(x2))))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(A__ADD(mark(x0), fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib(mark(z0)))), MARK(fib1(x1, fib(z0)))) A__ADD(s(x0), fib1(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(fib1(x1, sel(z0, z1)))) A__ADD(s(x0), fib1(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(fib1(x1, fib1(z0, z1)))) A__ADD(s(x0), fib1(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), a__add(mark(z0), mark(z1)))), MARK(fib1(x1, add(z0, z1)))) A__ADD(s(x0), fib1(x1, s(z0))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), s(mark(z0)))), MARK(fib1(x1, s(z0)))) A__ADD(s(x0), fib1(x1, 0)) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), 0)), MARK(fib1(x1, 0))) A__ADD(s(x0), fib1(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__fib1(mark(x1), cons(mark(z0), z1))), MARK(fib1(x1, cons(z0, z1)))) A__ADD(s(x0), fib1(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib(mark(z0)), mark(x2))), MARK(fib1(fib(z0), x2))) A__ADD(s(x0), fib1(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(fib1(sel(z0, z1), x2))) A__ADD(s(x0), fib1(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(fib1(fib1(z0, z1), x2))) A__ADD(s(x0), fib1(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(a__add(mark(z0), mark(z1)), mark(x2))), MARK(fib1(add(z0, z1), x2))) A__ADD(s(x0), fib1(s(z0), x2)) -> c7(A__ADD(mark(x0), a__fib1(s(mark(z0)), mark(x2))), MARK(fib1(s(z0), x2))) A__ADD(s(x0), fib1(0, x2)) -> c7(A__ADD(mark(x0), a__fib1(0, mark(x2))), MARK(fib1(0, x2))) A__ADD(s(x0), fib1(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__fib1(cons(mark(z0), z1), mark(x2))), MARK(fib1(cons(z0, z1), x2))) A__ADD(s(fib(z0)), fib1(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(sel(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(fib1(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(add(z0, z1)), fib1(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(s(z0)), fib1(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(0), fib1(x1, x2)) -> c7(A__ADD(0, a__fib1(mark(x1), mark(x2))), MARK(fib1(x1, x2))) A__ADD(s(x0), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(cons(z0, z1)), fib1(x1, x2)) -> c7(MARK(fib1(x1, x2))) A__ADD(s(x0), add(x1, x2)) -> c7(A__ADD(mark(x0), add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(x0), add(x1, fib(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib(mark(z0)))), MARK(add(x1, fib(z0)))) A__ADD(s(x0), add(x1, sel(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(add(x1, sel(z0, z1)))) A__ADD(s(x0), add(x1, fib1(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__fib1(mark(z0), mark(z1)))), MARK(add(x1, fib1(z0, z1)))) A__ADD(s(x0), add(x1, add(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), a__add(mark(z0), mark(z1)))), MARK(add(x1, add(z0, z1)))) A__ADD(s(x0), add(x1, s(z0))) -> c7(A__ADD(mark(x0), a__add(mark(x1), s(mark(z0)))), MARK(add(x1, s(z0)))) A__ADD(s(x0), add(x1, 0)) -> c7(A__ADD(mark(x0), a__add(mark(x1), 0)), MARK(add(x1, 0))) A__ADD(s(x0), add(x1, cons(z0, z1))) -> c7(A__ADD(mark(x0), a__add(mark(x1), cons(mark(z0), z1))), MARK(add(x1, cons(z0, z1)))) A__ADD(s(x0), add(fib(z0), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib(mark(z0)), mark(x2))), MARK(add(fib(z0), x2))) A__ADD(s(x0), add(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(add(sel(z0, z1), x2))) A__ADD(s(x0), add(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__fib1(mark(z0), mark(z1)), mark(x2))), MARK(add(fib1(z0, z1), x2))) A__ADD(s(x0), add(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(a__add(mark(z0), mark(z1)), mark(x2))), MARK(add(add(z0, z1), x2))) A__ADD(s(x0), add(s(z0), x2)) -> c7(A__ADD(mark(x0), a__add(s(mark(z0)), mark(x2))), MARK(add(s(z0), x2))) A__ADD(s(x0), add(0, x2)) -> c7(A__ADD(mark(x0), a__add(0, mark(x2))), MARK(add(0, x2))) A__ADD(s(x0), add(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), a__add(cons(mark(z0), z1), mark(x2))), MARK(add(cons(z0, z1), x2))) A__ADD(s(fib(z0)), add(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(sel(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(fib1(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(add(z0, z1)), add(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(s(z0)), add(x1, x2)) -> c7(A__ADD(s(mark(z0)), a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(0), add(x1, x2)) -> c7(A__ADD(0, a__add(mark(x1), mark(x2))), MARK(add(x1, x2))) A__ADD(s(cons(z0, z1)), add(x1, x2)) -> c7(MARK(add(x1, x2))) A__ADD(s(x0), s(fib(z0))) -> c7(A__ADD(mark(x0), s(a__fib(mark(z0)))), MARK(s(fib(z0)))) A__ADD(s(x0), s(sel(z0, z1))) -> c7(A__ADD(mark(x0), s(a__sel(mark(z0), mark(z1)))), MARK(s(sel(z0, z1)))) A__ADD(s(x0), s(fib1(z0, z1))) -> c7(A__ADD(mark(x0), s(a__fib1(mark(z0), mark(z1)))), MARK(s(fib1(z0, z1)))) A__ADD(s(x0), s(add(z0, z1))) -> c7(A__ADD(mark(x0), s(a__add(mark(z0), mark(z1)))), MARK(s(add(z0, z1)))) A__ADD(s(x0), s(s(z0))) -> c7(A__ADD(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__ADD(s(x0), s(0)) -> c7(A__ADD(mark(x0), s(0)), MARK(s(0))) A__ADD(s(x0), s(cons(z0, z1))) -> c7(A__ADD(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__ADD(s(fib(z0)), s(x1)) -> c7(A__ADD(a__fib(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(sel(z0, z1)), s(x1)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(fib1(z0, z1)), s(x1)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(add(z0, z1)), s(x1)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) A__ADD(s(s(z0)), s(x1)) -> c7(A__ADD(s(mark(z0)), s(mark(x1))), MARK(s(x1))) A__ADD(s(0), s(x1)) -> c7(A__ADD(0, s(mark(x1))), MARK(s(x1))) A__ADD(s(x0), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(cons(z0, z1)), s(x1)) -> c7(MARK(s(x1))) A__ADD(s(x0), cons(fib(z0), x2)) -> c7(A__ADD(mark(x0), cons(a__fib(mark(z0)), x2)), MARK(cons(fib(z0), x2))) A__ADD(s(x0), cons(sel(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__sel(mark(z0), mark(z1)), x2)), MARK(cons(sel(z0, z1), x2))) A__ADD(s(x0), cons(fib1(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__fib1(mark(z0), mark(z1)), x2)), MARK(cons(fib1(z0, z1), x2))) A__ADD(s(x0), cons(add(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(a__add(mark(z0), mark(z1)), x2)), MARK(cons(add(z0, z1), x2))) A__ADD(s(x0), cons(s(z0), x2)) -> c7(A__ADD(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) A__ADD(s(x0), cons(0, x2)) -> c7(A__ADD(mark(x0), cons(0, x2)), MARK(cons(0, x2))) A__ADD(s(x0), cons(cons(z0, z1), x2)) -> c7(A__ADD(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) A__ADD(s(fib(z0)), cons(x1, x2)) -> c7(A__ADD(a__fib(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__sel(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(fib1(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__fib1(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(add(z0, z1)), cons(x1, x2)) -> c7(A__ADD(a__add(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(s(z0)), cons(x1, x2)) -> c7(A__ADD(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(0), cons(x1, x2)) -> c7(A__ADD(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) A__ADD(s(x0), cons(x1, x2)) -> c7(MARK(cons(x1, x2))) A__ADD(s(cons(z0, z1)), cons(x1, x2)) -> c7(MARK(cons(x1, x2))) A__ADD(s(fib(x0)), x1) -> c7(A__ADD(a__sel(mark(mark(x0)), a__fib1(s(0), s(0))), mark(x1)), MARK(x1)) A__ADD(s(fib(fib(z0))), x1) -> c7(A__ADD(a__fib(a__fib(mark(z0))), mark(x1)), MARK(x1)) A__ADD(s(fib(sel(z0, z1))), x1) -> c7(A__ADD(a__fib(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__ADD(s(fib(fib1(z0, z1))), x1) -> c7(A__ADD(a__fib(a__fib1(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__ADD(s(fib(add(z0, z1))), x1) -> c7(A__ADD(a__fib(a__add(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__ADD(s(fib(s(z0))), x1) -> c7(A__ADD(a__fib(s(mark(z0))), mark(x1)), MARK(x1)) A__ADD(s(fib(0)), x1) -> c7(A__ADD(a__fib(0), mark(x1)), MARK(x1)) A__ADD(s(fib(cons(z0, z1))), x1) -> c7(A__ADD(a__fib(cons(mark(z0), z1)), mark(x1)), MARK(x1)) A__ADD(s(fib(x0)), 0) -> c7(A__ADD(a__fib(mark(x0)), 0)) A__ADD(s(fib(x0)), x1) -> c7(MARK(x1)) K tuples:none Defined Rule Symbols: a__fib_1, a__fib1_2, a__add_2, a__sel_2, mark_1 Defined Pair Symbols: A__FIB1_2, A__ADD_2, A__SEL_2, MARK_1, A__FIB_1 Compound Symbols: c3_1, c5_1, c9_1, c13_2, c16_2, c17_2, c20_1, c22_1, c_1, c1_1, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c14_2, c14_1, c15_2, c15_1, c18_2, c18_1, c19_2, c19_1, c_2, c1_2, c6_2