KILLED proof of input_XKEV1NFAlP.trs # AProVE Commit ID: aff8ecad908e01718a4c36e68d2e55d5e0f16e15 fuhs 20220216 unpublished The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).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), 0 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), 5 ms] (14) typed CpxTrs (15) RewriteLemmaProof [LOWER BOUND(ID), 1260 ms] (16) BEST (17) proven lower bound (18) LowerBoundPropagationProof [FINISHED, 0 ms] (19) BOUNDS(n^1, INF) (20) typed CpxTrs (21) RewriteLemmaProof [LOWER BOUND(ID), 19.3 s] (22) BOUNDS(1, INF) (23) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms] (24) CdtProblem (25) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (26) CdtProblem (27) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 0 ms] (28) CdtProblem (29) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (30) CpxRelTRS (31) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (32) CpxTRS (33) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (34) CpxWeightedTrs (35) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (36) CpxTypedWeightedTrs (37) CompletionProof [UPPER BOUND(ID), 0 ms] (38) CpxTypedWeightedCompleteTrs (39) NarrowingProof [BOTH BOUNDS(ID, ID), 3 ms] (40) CpxTypedWeightedCompleteTrs (41) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (42) CpxRNTS (43) InliningProof [UPPER BOUND(ID), 2111 ms] (44) CpxRNTS (45) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (46) CpxRNTS (47) CompletionProof [UPPER BOUND(ID), 0 ms] (48) CpxTypedWeightedCompleteTrs (49) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (50) CpxRNTS (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (52) CdtProblem (53) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (54) CdtProblem (55) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 30 ms] (56) CdtProblem (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (58) CdtProblem (59) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (60) CdtProblem (61) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (62) CdtProblem (63) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (64) CdtProblem (65) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (66) CdtProblem (67) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (68) CdtProblem (69) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 61 ms] (70) CdtProblem (71) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 50 ms] (72) CdtProblem (73) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (74) CdtProblem (75) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (76) CdtProblem (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (78) CdtProblem (79) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (80) CdtProblem (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (82) CdtProblem (83) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (84) CdtProblem (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (86) CdtProblem (87) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (88) CdtProblem (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (90) CdtProblem (91) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (92) CdtProblem (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (94) CdtProblem (95) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (96) CdtProblem (97) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (98) CdtProblem (99) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (100) CdtProblem (101) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (102) CdtProblem (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (104) CdtProblem (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (106) CdtProblem (107) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (108) CdtProblem (109) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (110) CdtProblem (111) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (112) CdtProblem (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3 ms] (114) CdtProblem (115) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (116) CdtProblem (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 8 ms] (118) CdtProblem (119) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (120) CdtProblem (121) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 362 ms] (122) CdtProblem (123) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (124) CdtProblem (125) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 689 ms] (126) CdtProblem (127) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (128) CdtProblem (129) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (130) CdtProblem (131) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (132) CdtProblem (133) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (134) CdtProblem (135) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 86 ms] (136) CdtProblem (137) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (138) CdtProblem (139) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 655 ms] (140) CdtProblem (141) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (142) CdtProblem (143) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1070 ms] (144) CdtProblem (145) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (146) CdtProblem (147) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1263 ms] (148) CdtProblem (149) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (150) CdtProblem (151) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1314 ms] (152) CdtProblem (153) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (154) CdtProblem (155) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1306 ms] (156) CdtProblem (157) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (158) CdtProblem (159) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (160) CdtProblem (161) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (162) CdtProblem (163) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 35 ms] (164) CdtProblem (165) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (166) CdtProblem (167) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 13 ms] (168) CdtProblem (169) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 159 ms] (170) CdtProblem (171) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 772 ms] (172) CdtProblem (173) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 539 ms] (174) CdtProblem (175) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 2192 ms] (176) CdtProblem (177) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 1309 ms] (178) CdtProblem (179) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 9021 ms] (180) CdtProblem (181) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 5571 ms] (182) CdtProblem (183) RelTrsToWeightedTrsProof [UPPER BOUND(ID), 0 ms] (184) CpxWeightedTrs (185) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (186) CpxTypedWeightedTrs (187) CompletionProof [UPPER BOUND(ID), 0 ms] (188) CpxTypedWeightedCompleteTrs (189) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (190) CpxTypedWeightedCompleteTrs (191) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (192) CpxRNTS (193) InliningProof [UPPER BOUND(ID), 463 ms] (194) CpxRNTS (195) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (196) CpxRNTS (197) CompletionProof [UPPER BOUND(ID), 0 ms] (198) CpxTypedWeightedCompleteTrs (199) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 2 ms] (200) CpxRNTS ---------------------------------------- (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: zeros -> cons(0, n__zeros) and(tt, X) -> activate(X) length(nil) -> 0 length(cons(N, L)) -> s(length(activate(L))) take(0, IL) -> nil take(s(M), cons(N, IL)) -> cons(N, n__take(M, activate(IL))) zeros -> n__zeros take(X1, X2) -> n__take(X1, X2) activate(n__zeros) -> zeros activate(n__take(X1, X2)) -> take(activate(X1), activate(X2)) activate(X) -> X 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: zeros -> cons(0', n__zeros) and(tt, X) -> activate(X) length(nil) -> 0' length(cons(N, L)) -> s(length(activate(L))) take(0', IL) -> nil take(s(M), cons(N, IL)) -> cons(N, n__take(M, activate(IL))) zeros -> n__zeros take(X1, X2) -> n__take(X1, X2) activate(n__zeros) -> zeros activate(n__take(X1, X2)) -> take(activate(X1), activate(X2)) activate(X) -> X 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: zeros -> cons(0, n__zeros) and(tt, X) -> activate(X) length(nil) -> 0 length(cons(N, L)) -> s(length(activate(L))) take(0, IL) -> nil take(s(M), cons(N, IL)) -> cons(N, n__take(M, activate(IL))) zeros -> n__zeros take(X1, X2) -> n__take(X1, X2) activate(n__zeros) -> zeros activate(n__take(X1, X2)) -> take(activate(X1), activate(X2)) activate(X) -> X 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: zeros -> cons(0, n__zeros) zeros -> n__zeros and(tt, z0) -> activate(z0) length(nil) -> 0 length(cons(z0, z1)) -> s(length(activate(z1))) take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 Tuples: ZEROS -> c ZEROS -> c1 AND(tt, z0) -> c2(ACTIVATE(z0)) LENGTH(nil) -> c3 LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) TAKE(0, z0) -> c5 TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) TAKE(z0, z1) -> c7 ACTIVATE(n__zeros) -> c8(ZEROS) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) ACTIVATE(z0) -> c11 S tuples: ZEROS -> c ZEROS -> c1 AND(tt, z0) -> c2(ACTIVATE(z0)) LENGTH(nil) -> c3 LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) TAKE(0, z0) -> c5 TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) TAKE(z0, z1) -> c7 ACTIVATE(n__zeros) -> c8(ZEROS) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) ACTIVATE(z0) -> c11 K tuples:none Defined Rule Symbols: zeros, and_2, length_1, take_2, activate_1 Defined Pair Symbols: ZEROS, AND_2, LENGTH_1, TAKE_2, ACTIVATE_1 Compound Symbols: c, c1, c2_1, c3, c4_2, c5, c6_1, c7, c8_1, c9_2, c10_2, c11 ---------------------------------------- (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: ZEROS -> c ZEROS -> c1 AND(tt, z0) -> c2(ACTIVATE(z0)) LENGTH(nil) -> c3 LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) TAKE(0, z0) -> c5 TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) TAKE(z0, z1) -> c7 ACTIVATE(n__zeros) -> c8(ZEROS) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) ACTIVATE(z0) -> c11 The (relative) TRS S consists of the following rules: zeros -> cons(0, n__zeros) zeros -> n__zeros and(tt, z0) -> activate(z0) length(nil) -> 0 length(cons(z0, z1)) -> s(length(activate(z1))) take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 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: ZEROS -> c ZEROS -> c1 AND(tt, z0) -> c2(ACTIVATE(z0)) LENGTH(nil) -> c3 LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) TAKE(0', z0) -> c5 TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) TAKE(z0, z1) -> c7 ACTIVATE(n__zeros) -> c8(ZEROS) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) ACTIVATE(z0) -> c11 The (relative) TRS S consists of the following rules: zeros -> cons(0', n__zeros) zeros -> n__zeros and(tt, z0) -> activate(z0) length(nil) -> 0' length(cons(z0, z1)) -> s(length(activate(z1))) take(0', z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 Rewrite Strategy: INNERMOST ---------------------------------------- (11) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Inferred types. ---------------------------------------- (12) Obligation: Innermost TRS: Rules: ZEROS -> c ZEROS -> c1 AND(tt, z0) -> c2(ACTIVATE(z0)) LENGTH(nil) -> c3 LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) TAKE(0', z0) -> c5 TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) TAKE(z0, z1) -> c7 ACTIVATE(n__zeros) -> c8(ZEROS) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) ACTIVATE(z0) -> c11 zeros -> cons(0', n__zeros) zeros -> n__zeros and(tt, z0) -> activate(z0) length(nil) -> 0' length(cons(z0, z1)) -> s(length(activate(z1))) take(0', z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 Types: ZEROS :: c:c1 c :: c:c1 c1 :: c:c1 AND :: tt -> nil:cons:0':s:n__zeros:n__take -> c2 tt :: tt c2 :: c8:c9:c10:c11 -> c2 ACTIVATE :: nil:cons:0':s:n__zeros:n__take -> c8:c9:c10:c11 LENGTH :: nil:cons:0':s:n__zeros:n__take -> c3:c4 nil :: nil:cons:0':s:n__zeros:n__take c3 :: c3:c4 cons :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take c4 :: c3:c4 -> c8:c9:c10:c11 -> c3:c4 activate :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take TAKE :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take -> c5:c6:c7 0' :: nil:cons:0':s:n__zeros:n__take c5 :: c5:c6:c7 s :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take c6 :: c8:c9:c10:c11 -> c5:c6:c7 c7 :: c5:c6:c7 n__zeros :: nil:cons:0':s:n__zeros:n__take c8 :: c:c1 -> c8:c9:c10:c11 n__take :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take c9 :: c5:c6:c7 -> c8:c9:c10:c11 -> c8:c9:c10:c11 c10 :: c5:c6:c7 -> c8:c9:c10:c11 -> c8:c9:c10:c11 c11 :: c8:c9:c10:c11 zeros :: nil:cons:0':s:n__zeros:n__take and :: tt -> nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take length :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take take :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take hole_c:c11_12 :: c:c1 hole_c22_12 :: c2 hole_tt3_12 :: tt hole_nil:cons:0':s:n__zeros:n__take4_12 :: nil:cons:0':s:n__zeros:n__take hole_c8:c9:c10:c115_12 :: c8:c9:c10:c11 hole_c3:c46_12 :: c3:c4 hole_c5:c6:c77_12 :: c5:c6:c7 gen_nil:cons:0':s:n__zeros:n__take8_12 :: Nat -> nil:cons:0':s:n__zeros:n__take gen_c8:c9:c10:c119_12 :: Nat -> c8:c9:c10:c11 gen_c3:c410_12 :: Nat -> c3:c4 ---------------------------------------- (13) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: ACTIVATE, LENGTH, activate, length They will be analysed ascendingly in the following order: ACTIVATE < LENGTH activate < ACTIVATE activate < LENGTH activate < length ---------------------------------------- (14) Obligation: Innermost TRS: Rules: ZEROS -> c ZEROS -> c1 AND(tt, z0) -> c2(ACTIVATE(z0)) LENGTH(nil) -> c3 LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) TAKE(0', z0) -> c5 TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) TAKE(z0, z1) -> c7 ACTIVATE(n__zeros) -> c8(ZEROS) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) ACTIVATE(z0) -> c11 zeros -> cons(0', n__zeros) zeros -> n__zeros and(tt, z0) -> activate(z0) length(nil) -> 0' length(cons(z0, z1)) -> s(length(activate(z1))) take(0', z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 Types: ZEROS :: c:c1 c :: c:c1 c1 :: c:c1 AND :: tt -> nil:cons:0':s:n__zeros:n__take -> c2 tt :: tt c2 :: c8:c9:c10:c11 -> c2 ACTIVATE :: nil:cons:0':s:n__zeros:n__take -> c8:c9:c10:c11 LENGTH :: nil:cons:0':s:n__zeros:n__take -> c3:c4 nil :: nil:cons:0':s:n__zeros:n__take c3 :: c3:c4 cons :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take c4 :: c3:c4 -> c8:c9:c10:c11 -> c3:c4 activate :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take TAKE :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take -> c5:c6:c7 0' :: nil:cons:0':s:n__zeros:n__take c5 :: c5:c6:c7 s :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take c6 :: c8:c9:c10:c11 -> c5:c6:c7 c7 :: c5:c6:c7 n__zeros :: nil:cons:0':s:n__zeros:n__take c8 :: c:c1 -> c8:c9:c10:c11 n__take :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take c9 :: c5:c6:c7 -> c8:c9:c10:c11 -> c8:c9:c10:c11 c10 :: c5:c6:c7 -> c8:c9:c10:c11 -> c8:c9:c10:c11 c11 :: c8:c9:c10:c11 zeros :: nil:cons:0':s:n__zeros:n__take and :: tt -> nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take length :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take take :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take hole_c:c11_12 :: c:c1 hole_c22_12 :: c2 hole_tt3_12 :: tt hole_nil:cons:0':s:n__zeros:n__take4_12 :: nil:cons:0':s:n__zeros:n__take hole_c8:c9:c10:c115_12 :: c8:c9:c10:c11 hole_c3:c46_12 :: c3:c4 hole_c5:c6:c77_12 :: c5:c6:c7 gen_nil:cons:0':s:n__zeros:n__take8_12 :: Nat -> nil:cons:0':s:n__zeros:n__take gen_c8:c9:c10:c119_12 :: Nat -> c8:c9:c10:c11 gen_c3:c410_12 :: Nat -> c3:c4 Generator Equations: gen_nil:cons:0':s:n__zeros:n__take8_12(0) <=> nil gen_nil:cons:0':s:n__zeros:n__take8_12(+(x, 1)) <=> cons(nil, gen_nil:cons:0':s:n__zeros:n__take8_12(x)) gen_c8:c9:c10:c119_12(0) <=> c8(c) gen_c8:c9:c10:c119_12(+(x, 1)) <=> c9(c5, gen_c8:c9:c10:c119_12(x)) gen_c3:c410_12(0) <=> c3 gen_c3:c410_12(+(x, 1)) <=> c4(gen_c3:c410_12(x), c8(c)) The following defined symbols remain to be analysed: activate, ACTIVATE, LENGTH, length They will be analysed ascendingly in the following order: ACTIVATE < LENGTH activate < ACTIVATE activate < LENGTH activate < length ---------------------------------------- (15) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: LENGTH(gen_nil:cons:0':s:n__zeros:n__take8_12(n49_12)) -> *11_12, rt in Omega(n49_12) Induction Base: LENGTH(gen_nil:cons:0':s:n__zeros:n__take8_12(0)) Induction Step: LENGTH(gen_nil:cons:0':s:n__zeros:n__take8_12(+(n49_12, 1))) ->_R^Omega(1) c4(LENGTH(activate(gen_nil:cons:0':s:n__zeros:n__take8_12(n49_12))), ACTIVATE(gen_nil:cons:0':s:n__zeros:n__take8_12(n49_12))) ->_R^Omega(0) c4(LENGTH(gen_nil:cons:0':s:n__zeros:n__take8_12(n49_12)), ACTIVATE(gen_nil:cons:0':s:n__zeros:n__take8_12(n49_12))) ->_IH c4(*11_12, ACTIVATE(gen_nil:cons:0':s:n__zeros:n__take8_12(n49_12))) ->_R^Omega(1) c4(*11_12, c11) We have rt in Omega(n^1) and sz in O(n). Thus, we have irc_R in Omega(n). ---------------------------------------- (16) Complex Obligation (BEST) ---------------------------------------- (17) Obligation: Proved the lower bound n^1 for the following obligation: Innermost TRS: Rules: ZEROS -> c ZEROS -> c1 AND(tt, z0) -> c2(ACTIVATE(z0)) LENGTH(nil) -> c3 LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) TAKE(0', z0) -> c5 TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) TAKE(z0, z1) -> c7 ACTIVATE(n__zeros) -> c8(ZEROS) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) ACTIVATE(z0) -> c11 zeros -> cons(0', n__zeros) zeros -> n__zeros and(tt, z0) -> activate(z0) length(nil) -> 0' length(cons(z0, z1)) -> s(length(activate(z1))) take(0', z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 Types: ZEROS :: c:c1 c :: c:c1 c1 :: c:c1 AND :: tt -> nil:cons:0':s:n__zeros:n__take -> c2 tt :: tt c2 :: c8:c9:c10:c11 -> c2 ACTIVATE :: nil:cons:0':s:n__zeros:n__take -> c8:c9:c10:c11 LENGTH :: nil:cons:0':s:n__zeros:n__take -> c3:c4 nil :: nil:cons:0':s:n__zeros:n__take c3 :: c3:c4 cons :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take c4 :: c3:c4 -> c8:c9:c10:c11 -> c3:c4 activate :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take TAKE :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take -> c5:c6:c7 0' :: nil:cons:0':s:n__zeros:n__take c5 :: c5:c6:c7 s :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take c6 :: c8:c9:c10:c11 -> c5:c6:c7 c7 :: c5:c6:c7 n__zeros :: nil:cons:0':s:n__zeros:n__take c8 :: c:c1 -> c8:c9:c10:c11 n__take :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take c9 :: c5:c6:c7 -> c8:c9:c10:c11 -> c8:c9:c10:c11 c10 :: c5:c6:c7 -> c8:c9:c10:c11 -> c8:c9:c10:c11 c11 :: c8:c9:c10:c11 zeros :: nil:cons:0':s:n__zeros:n__take and :: tt -> nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take length :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take take :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take hole_c:c11_12 :: c:c1 hole_c22_12 :: c2 hole_tt3_12 :: tt hole_nil:cons:0':s:n__zeros:n__take4_12 :: nil:cons:0':s:n__zeros:n__take hole_c8:c9:c10:c115_12 :: c8:c9:c10:c11 hole_c3:c46_12 :: c3:c4 hole_c5:c6:c77_12 :: c5:c6:c7 gen_nil:cons:0':s:n__zeros:n__take8_12 :: Nat -> nil:cons:0':s:n__zeros:n__take gen_c8:c9:c10:c119_12 :: Nat -> c8:c9:c10:c11 gen_c3:c410_12 :: Nat -> c3:c4 Generator Equations: gen_nil:cons:0':s:n__zeros:n__take8_12(0) <=> nil gen_nil:cons:0':s:n__zeros:n__take8_12(+(x, 1)) <=> cons(nil, gen_nil:cons:0':s:n__zeros:n__take8_12(x)) gen_c8:c9:c10:c119_12(0) <=> c8(c) gen_c8:c9:c10:c119_12(+(x, 1)) <=> c9(c5, gen_c8:c9:c10:c119_12(x)) gen_c3:c410_12(0) <=> c3 gen_c3:c410_12(+(x, 1)) <=> c4(gen_c3:c410_12(x), c8(c)) The following defined symbols remain to be analysed: LENGTH, length ---------------------------------------- (18) LowerBoundPropagationProof (FINISHED) Propagated lower bound. ---------------------------------------- (19) BOUNDS(n^1, INF) ---------------------------------------- (20) Obligation: Innermost TRS: Rules: ZEROS -> c ZEROS -> c1 AND(tt, z0) -> c2(ACTIVATE(z0)) LENGTH(nil) -> c3 LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) TAKE(0', z0) -> c5 TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) TAKE(z0, z1) -> c7 ACTIVATE(n__zeros) -> c8(ZEROS) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) ACTIVATE(z0) -> c11 zeros -> cons(0', n__zeros) zeros -> n__zeros and(tt, z0) -> activate(z0) length(nil) -> 0' length(cons(z0, z1)) -> s(length(activate(z1))) take(0', z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 Types: ZEROS :: c:c1 c :: c:c1 c1 :: c:c1 AND :: tt -> nil:cons:0':s:n__zeros:n__take -> c2 tt :: tt c2 :: c8:c9:c10:c11 -> c2 ACTIVATE :: nil:cons:0':s:n__zeros:n__take -> c8:c9:c10:c11 LENGTH :: nil:cons:0':s:n__zeros:n__take -> c3:c4 nil :: nil:cons:0':s:n__zeros:n__take c3 :: c3:c4 cons :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take c4 :: c3:c4 -> c8:c9:c10:c11 -> c3:c4 activate :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take TAKE :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take -> c5:c6:c7 0' :: nil:cons:0':s:n__zeros:n__take c5 :: c5:c6:c7 s :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take c6 :: c8:c9:c10:c11 -> c5:c6:c7 c7 :: c5:c6:c7 n__zeros :: nil:cons:0':s:n__zeros:n__take c8 :: c:c1 -> c8:c9:c10:c11 n__take :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take c9 :: c5:c6:c7 -> c8:c9:c10:c11 -> c8:c9:c10:c11 c10 :: c5:c6:c7 -> c8:c9:c10:c11 -> c8:c9:c10:c11 c11 :: c8:c9:c10:c11 zeros :: nil:cons:0':s:n__zeros:n__take and :: tt -> nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take length :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take take :: nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take -> nil:cons:0':s:n__zeros:n__take hole_c:c11_12 :: c:c1 hole_c22_12 :: c2 hole_tt3_12 :: tt hole_nil:cons:0':s:n__zeros:n__take4_12 :: nil:cons:0':s:n__zeros:n__take hole_c8:c9:c10:c115_12 :: c8:c9:c10:c11 hole_c3:c46_12 :: c3:c4 hole_c5:c6:c77_12 :: c5:c6:c7 gen_nil:cons:0':s:n__zeros:n__take8_12 :: Nat -> nil:cons:0':s:n__zeros:n__take gen_c8:c9:c10:c119_12 :: Nat -> c8:c9:c10:c11 gen_c3:c410_12 :: Nat -> c3:c4 Lemmas: LENGTH(gen_nil:cons:0':s:n__zeros:n__take8_12(n49_12)) -> *11_12, rt in Omega(n49_12) Generator Equations: gen_nil:cons:0':s:n__zeros:n__take8_12(0) <=> nil gen_nil:cons:0':s:n__zeros:n__take8_12(+(x, 1)) <=> cons(nil, gen_nil:cons:0':s:n__zeros:n__take8_12(x)) gen_c8:c9:c10:c119_12(0) <=> c8(c) gen_c8:c9:c10:c119_12(+(x, 1)) <=> c9(c5, gen_c8:c9:c10:c119_12(x)) gen_c3:c410_12(0) <=> c3 gen_c3:c410_12(+(x, 1)) <=> c4(gen_c3:c410_12(x), c8(c)) The following defined symbols remain to be analysed: length ---------------------------------------- (21) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: length(gen_nil:cons:0':s:n__zeros:n__take8_12(n5730_12)) -> *11_12, rt in Omega(0) Induction Base: length(gen_nil:cons:0':s:n__zeros:n__take8_12(0)) Induction Step: length(gen_nil:cons:0':s:n__zeros:n__take8_12(+(n5730_12, 1))) ->_R^Omega(0) s(length(activate(gen_nil:cons:0':s:n__zeros:n__take8_12(n5730_12)))) ->_R^Omega(0) s(length(gen_nil:cons:0':s:n__zeros:n__take8_12(n5730_12))) ->_IH s(*11_12) We have rt in Omega(1) and sz in O(n). Thus, we have irc_R in Omega(n^0). ---------------------------------------- (22) BOUNDS(1, INF) ---------------------------------------- (23) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (24) Obligation: Complexity Dependency Tuples Problem Rules: zeros -> cons(0, n__zeros) zeros -> n__zeros and(tt, z0) -> activate(z0) length(nil) -> 0 length(cons(z0, z1)) -> s(length(activate(z1))) take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 Tuples: ZEROS -> c ZEROS -> c1 AND(tt, z0) -> c2(ACTIVATE(z0)) LENGTH(nil) -> c3 LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) TAKE(0, z0) -> c5 TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) TAKE(z0, z1) -> c7 ACTIVATE(n__zeros) -> c8(ZEROS) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) ACTIVATE(z0) -> c11 S tuples: ZEROS -> c ZEROS -> c1 AND(tt, z0) -> c2(ACTIVATE(z0)) LENGTH(nil) -> c3 LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) TAKE(0, z0) -> c5 TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) TAKE(z0, z1) -> c7 ACTIVATE(n__zeros) -> c8(ZEROS) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) ACTIVATE(z0) -> c11 K tuples:none Defined Rule Symbols: zeros, and_2, length_1, take_2, activate_1 Defined Pair Symbols: ZEROS, AND_2, LENGTH_1, TAKE_2, ACTIVATE_1 Compound Symbols: c, c1, c2_1, c3, c4_2, c5, c6_1, c7, c8_1, c9_2, c10_2, c11 ---------------------------------------- (25) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 1 leading nodes: AND(tt, z0) -> c2(ACTIVATE(z0)) Removed 7 trailing nodes: LENGTH(nil) -> c3 ACTIVATE(z0) -> c11 ZEROS -> c1 TAKE(z0, z1) -> c7 ACTIVATE(n__zeros) -> c8(ZEROS) TAKE(0, z0) -> c5 ZEROS -> c ---------------------------------------- (26) Obligation: Complexity Dependency Tuples Problem Rules: zeros -> cons(0, n__zeros) zeros -> n__zeros and(tt, z0) -> activate(z0) length(nil) -> 0 length(cons(z0, z1)) -> s(length(activate(z1))) take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 Tuples: LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) S tuples: LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) K tuples:none Defined Rule Symbols: zeros, and_2, length_1, take_2, activate_1 Defined Pair Symbols: LENGTH_1, TAKE_2, ACTIVATE_1 Compound Symbols: c4_2, c6_1, c9_2, c10_2 ---------------------------------------- (27) CdtUsableRulesProof (BOTH BOUNDS(ID, ID)) The following rules are not usable and were removed: and(tt, z0) -> activate(z0) length(nil) -> 0 length(cons(z0, z1)) -> s(length(activate(z1))) ---------------------------------------- (28) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) S tuples: LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) K tuples:none Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, TAKE_2, ACTIVATE_1 Compound Symbols: c4_2, c6_1, c9_2, c10_2 ---------------------------------------- (29) CdtToCpxRelTrsProof (BOTH BOUNDS(ID, ID)) Converted S to standard rules, and D \ S as well as R to relative rules. ---------------------------------------- (30) 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: LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) The (relative) TRS S consists of the following rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Rewrite Strategy: INNERMOST ---------------------------------------- (31) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (32) 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: LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (33) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (34) 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: LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) [1] TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) [1] ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) [1] ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) [1] activate(n__zeros) -> zeros [0] activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) [0] activate(z0) -> z0 [0] zeros -> cons(0, n__zeros) [0] zeros -> n__zeros [0] take(0, z0) -> nil [0] take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) [0] take(z0, z1) -> n__take(z0, z1) [0] Rewrite Strategy: INNERMOST ---------------------------------------- (35) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (36) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) [1] TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) [1] ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) [1] ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) [1] activate(n__zeros) -> zeros [0] activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) [0] activate(z0) -> z0 [0] zeros -> cons(0, n__zeros) [0] zeros -> n__zeros [0] take(0, z0) -> nil [0] take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) [0] take(z0, z1) -> n__take(z0, z1) [0] The TRS has the following type information: LENGTH :: cons:s:n__take:n__zeros:0:nil -> c4 cons :: cons:s:n__take:n__zeros:0:nil -> cons:s:n__take:n__zeros:0:nil -> cons:s:n__take:n__zeros:0:nil c4 :: c4 -> c9:c10 -> c4 activate :: cons:s:n__take:n__zeros:0:nil -> cons:s:n__take:n__zeros:0:nil ACTIVATE :: cons:s:n__take:n__zeros:0:nil -> c9:c10 TAKE :: cons:s:n__take:n__zeros:0:nil -> cons:s:n__take:n__zeros:0:nil -> c6 s :: cons:s:n__take:n__zeros:0:nil -> cons:s:n__take:n__zeros:0:nil c6 :: c9:c10 -> c6 n__take :: cons:s:n__take:n__zeros:0:nil -> cons:s:n__take:n__zeros:0:nil -> cons:s:n__take:n__zeros:0:nil c9 :: c6 -> c9:c10 -> c9:c10 c10 :: c6 -> c9:c10 -> c9:c10 n__zeros :: cons:s:n__take:n__zeros:0:nil zeros :: cons:s:n__take:n__zeros:0:nil take :: cons:s:n__take:n__zeros:0:nil -> cons:s:n__take:n__zeros:0:nil -> cons:s:n__take:n__zeros:0:nil 0 :: cons:s:n__take:n__zeros:0:nil nil :: cons:s:n__take:n__zeros:0:nil Rewrite Strategy: INNERMOST ---------------------------------------- (37) 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: LENGTH_1 TAKE_2 ACTIVATE_1 (c) The following functions are completely defined: activate_1 zeros take_2 Due to the following rules being added: activate(v0) -> null_activate [0] zeros -> null_zeros [0] take(v0, v1) -> null_take [0] And the following fresh constants: null_activate, null_zeros, null_take, const, const1, const2 ---------------------------------------- (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: LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) [1] TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) [1] ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) [1] ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) [1] activate(n__zeros) -> zeros [0] activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) [0] activate(z0) -> z0 [0] zeros -> cons(0, n__zeros) [0] zeros -> n__zeros [0] take(0, z0) -> nil [0] take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) [0] take(z0, z1) -> n__take(z0, z1) [0] activate(v0) -> null_activate [0] zeros -> null_zeros [0] take(v0, v1) -> null_take [0] The TRS has the following type information: LENGTH :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> c4 cons :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take c4 :: c4 -> c9:c10 -> c4 activate :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take ACTIVATE :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> c9:c10 TAKE :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> c6 s :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take c6 :: c9:c10 -> c6 n__take :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take c9 :: c6 -> c9:c10 -> c9:c10 c10 :: c6 -> c9:c10 -> c9:c10 n__zeros :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take zeros :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take take :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take 0 :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take nil :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take null_activate :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take null_zeros :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take null_take :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take const :: c4 const1 :: c9:c10 const2 :: c6 Rewrite Strategy: INNERMOST ---------------------------------------- (39) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (40) 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: LENGTH(cons(z0, n__zeros)) -> c4(LENGTH(zeros), ACTIVATE(n__zeros)) [1] LENGTH(cons(z0, n__take(z0', z1'))) -> c4(LENGTH(take(activate(z0'), activate(z1'))), ACTIVATE(n__take(z0', z1'))) [1] LENGTH(cons(z0, z1)) -> c4(LENGTH(z1), ACTIVATE(z1)) [1] LENGTH(cons(z0, z1)) -> c4(LENGTH(null_activate), ACTIVATE(z1)) [1] TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) [1] ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros), ACTIVATE(n__zeros)) [1] ACTIVATE(n__take(n__zeros, n__take(z01, z11))) -> c9(TAKE(zeros, take(activate(z01), activate(z11))), ACTIVATE(n__zeros)) [1] ACTIVATE(n__take(n__zeros, z1)) -> c9(TAKE(zeros, z1), ACTIVATE(n__zeros)) [1] ACTIVATE(n__take(n__zeros, z1)) -> c9(TAKE(zeros, null_activate), ACTIVATE(n__zeros)) [1] ACTIVATE(n__take(n__take(z0'', z1''), n__zeros)) -> c9(TAKE(take(activate(z0''), activate(z1'')), zeros), ACTIVATE(n__take(z0'', z1''))) [1] ACTIVATE(n__take(n__take(z0'', z1''), n__take(z02, z12))) -> c9(TAKE(take(activate(z0''), activate(z1'')), take(activate(z02), activate(z12))), ACTIVATE(n__take(z0'', z1''))) [1] ACTIVATE(n__take(n__take(z0'', z1''), z1)) -> c9(TAKE(take(activate(z0''), activate(z1'')), z1), ACTIVATE(n__take(z0'', z1''))) [1] ACTIVATE(n__take(n__take(z0'', z1''), z1)) -> c9(TAKE(take(activate(z0''), activate(z1'')), null_activate), ACTIVATE(n__take(z0'', z1''))) [1] ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) [1] ACTIVATE(n__take(z0, n__take(z03, z13))) -> c9(TAKE(z0, take(activate(z03), activate(z13))), ACTIVATE(z0)) [1] ACTIVATE(n__take(z0, z1)) -> c9(TAKE(z0, z1), ACTIVATE(z0)) [1] ACTIVATE(n__take(z0, z1)) -> c9(TAKE(z0, null_activate), ACTIVATE(z0)) [1] ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(null_activate, zeros), ACTIVATE(z0)) [1] ACTIVATE(n__take(z0, n__take(z04, z14))) -> c9(TAKE(null_activate, take(activate(z04), activate(z14))), ACTIVATE(z0)) [1] ACTIVATE(n__take(z0, z1)) -> c9(TAKE(null_activate, z1), ACTIVATE(z0)) [1] ACTIVATE(n__take(z0, z1)) -> c9(TAKE(null_activate, null_activate), ACTIVATE(z0)) [1] ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros), ACTIVATE(n__zeros)) [1] ACTIVATE(n__take(n__zeros, n__take(z06, z16))) -> c10(TAKE(zeros, take(activate(z06), activate(z16))), ACTIVATE(n__take(z06, z16))) [1] ACTIVATE(n__take(n__zeros, z1)) -> c10(TAKE(zeros, z1), ACTIVATE(z1)) [1] ACTIVATE(n__take(n__zeros, z1)) -> c10(TAKE(zeros, null_activate), ACTIVATE(z1)) [1] ACTIVATE(n__take(n__take(z05, z15), n__zeros)) -> c10(TAKE(take(activate(z05), activate(z15)), zeros), ACTIVATE(n__zeros)) [1] ACTIVATE(n__take(n__take(z05, z15), n__take(z07, z17))) -> c10(TAKE(take(activate(z05), activate(z15)), take(activate(z07), activate(z17))), ACTIVATE(n__take(z07, z17))) [1] ACTIVATE(n__take(n__take(z05, z15), z1)) -> c10(TAKE(take(activate(z05), activate(z15)), z1), ACTIVATE(z1)) [1] ACTIVATE(n__take(n__take(z05, z15), z1)) -> c10(TAKE(take(activate(z05), activate(z15)), null_activate), ACTIVATE(z1)) [1] ACTIVATE(n__take(z0, n__zeros)) -> c10(TAKE(z0, zeros), ACTIVATE(n__zeros)) [1] ACTIVATE(n__take(z0, n__take(z08, z18))) -> c10(TAKE(z0, take(activate(z08), activate(z18))), ACTIVATE(n__take(z08, z18))) [1] ACTIVATE(n__take(z0, z1)) -> c10(TAKE(z0, z1), ACTIVATE(z1)) [1] ACTIVATE(n__take(z0, z1)) -> c10(TAKE(z0, null_activate), ACTIVATE(z1)) [1] ACTIVATE(n__take(z0, n__zeros)) -> c10(TAKE(null_activate, zeros), ACTIVATE(n__zeros)) [1] ACTIVATE(n__take(z0, n__take(z09, z19))) -> c10(TAKE(null_activate, take(activate(z09), activate(z19))), ACTIVATE(n__take(z09, z19))) [1] ACTIVATE(n__take(z0, z1)) -> c10(TAKE(null_activate, z1), ACTIVATE(z1)) [1] ACTIVATE(n__take(z0, z1)) -> c10(TAKE(null_activate, null_activate), ACTIVATE(z1)) [1] activate(n__zeros) -> zeros [0] activate(n__take(n__zeros, n__zeros)) -> take(zeros, zeros) [0] activate(n__take(n__zeros, n__take(z011, z111))) -> take(zeros, take(activate(z011), activate(z111))) [0] activate(n__take(n__zeros, z1)) -> take(zeros, z1) [0] activate(n__take(n__zeros, z1)) -> take(zeros, null_activate) [0] activate(n__take(n__take(z010, z110), n__zeros)) -> take(take(activate(z010), activate(z110)), zeros) [0] activate(n__take(n__take(z010, z110), n__take(z012, z112))) -> take(take(activate(z010), activate(z110)), take(activate(z012), activate(z112))) [0] activate(n__take(n__take(z010, z110), z1)) -> take(take(activate(z010), activate(z110)), z1) [0] activate(n__take(n__take(z010, z110), z1)) -> take(take(activate(z010), activate(z110)), null_activate) [0] activate(n__take(z0, n__zeros)) -> take(z0, zeros) [0] activate(n__take(z0, n__take(z013, z113))) -> take(z0, take(activate(z013), activate(z113))) [0] activate(n__take(z0, z1)) -> take(z0, z1) [0] activate(n__take(z0, z1)) -> take(z0, null_activate) [0] activate(n__take(z0, n__zeros)) -> take(null_activate, zeros) [0] activate(n__take(z0, n__take(z014, z114))) -> take(null_activate, take(activate(z014), activate(z114))) [0] activate(n__take(z0, z1)) -> take(null_activate, z1) [0] activate(n__take(z0, z1)) -> take(null_activate, null_activate) [0] activate(z0) -> z0 [0] zeros -> cons(0, n__zeros) [0] zeros -> n__zeros [0] take(0, z0) -> nil [0] take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) [0] take(z0, z1) -> n__take(z0, z1) [0] activate(v0) -> null_activate [0] zeros -> null_zeros [0] take(v0, v1) -> null_take [0] The TRS has the following type information: LENGTH :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> c4 cons :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take c4 :: c4 -> c9:c10 -> c4 activate :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take ACTIVATE :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> c9:c10 TAKE :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> c6 s :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take c6 :: c9:c10 -> c6 n__take :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take c9 :: c6 -> c9:c10 -> c9:c10 c10 :: c6 -> c9:c10 -> c9:c10 n__zeros :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take zeros :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take take :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take 0 :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take nil :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take null_activate :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take null_zeros :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take null_take :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take const :: c4 const1 :: c9:c10 const2 :: c6 Rewrite Strategy: INNERMOST ---------------------------------------- (41) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: n__zeros => 1 0 => 0 nil => 2 null_activate => 0 null_zeros => 0 null_take => 0 const => 0 const1 => 0 const2 => 0 ---------------------------------------- (42) Obligation: Complexity RNTS consisting of the following rules: ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, z1) + ACTIVATE(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, z1) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, zeros) + ACTIVATE(z0) :|: z0 >= 0, z = 1 + z0 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, zeros) + ACTIVATE(1) :|: z0 >= 0, z = 1 + z0 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, take(activate(z03), activate(z13))) + ACTIVATE(z0) :|: z = 1 + z0 + (1 + z03 + z13), z0 >= 0, z03 >= 0, z13 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, take(activate(z08), activate(z18))) + ACTIVATE(1 + z08 + z18) :|: z08 >= 0, z18 >= 0, z0 >= 0, z = 1 + z0 + (1 + z08 + z18) ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, 0) + ACTIVATE(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, 0) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(zeros, z1) + ACTIVATE(z1) :|: z1 >= 0, z = 1 + 1 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(zeros, z1) + ACTIVATE(1) :|: z1 >= 0, z = 1 + 1 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(zeros, zeros) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(zeros, take(activate(z01), activate(z11))) + ACTIVATE(1) :|: z11 >= 0, z01 >= 0, z = 1 + 1 + (1 + z01 + z11) ACTIVATE(z) -{ 1 }-> 1 + TAKE(zeros, take(activate(z06), activate(z16))) + ACTIVATE(1 + z06 + z16) :|: z = 1 + 1 + (1 + z06 + z16), z06 >= 0, z16 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(zeros, 0) + ACTIVATE(z1) :|: z1 >= 0, z = 1 + 1 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(zeros, 0) + ACTIVATE(1) :|: z1 >= 0, z = 1 + 1 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z0''), activate(z1'')), z1) + ACTIVATE(1 + z0'' + z1'') :|: z1 >= 0, z = 1 + (1 + z0'' + z1'') + z1, z0'' >= 0, z1'' >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z0''), activate(z1'')), zeros) + ACTIVATE(1 + z0'' + z1'') :|: z = 1 + (1 + z0'' + z1'') + 1, z0'' >= 0, z1'' >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z0''), activate(z1'')), take(activate(z02), activate(z12))) + ACTIVATE(1 + z0'' + z1'') :|: z02 >= 0, z12 >= 0, z = 1 + (1 + z0'' + z1'') + (1 + z02 + z12), z0'' >= 0, z1'' >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z0''), activate(z1'')), 0) + ACTIVATE(1 + z0'' + z1'') :|: z1 >= 0, z = 1 + (1 + z0'' + z1'') + z1, z0'' >= 0, z1'' >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z05), activate(z15)), z1) + ACTIVATE(z1) :|: z15 >= 0, z1 >= 0, z = 1 + (1 + z05 + z15) + z1, z05 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z05), activate(z15)), zeros) + ACTIVATE(1) :|: z15 >= 0, z = 1 + (1 + z05 + z15) + 1, z05 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z05), activate(z15)), take(activate(z07), activate(z17))) + ACTIVATE(1 + z07 + z17) :|: z15 >= 0, z07 >= 0, z17 >= 0, z = 1 + (1 + z05 + z15) + (1 + z07 + z17), z05 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z05), activate(z15)), 0) + ACTIVATE(z1) :|: z15 >= 0, z1 >= 0, z = 1 + (1 + z05 + z15) + z1, z05 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, z1) + ACTIVATE(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, z1) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, zeros) + ACTIVATE(z0) :|: z0 >= 0, z = 1 + z0 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, zeros) + ACTIVATE(1) :|: z0 >= 0, z = 1 + z0 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, take(activate(z04), activate(z14))) + ACTIVATE(z0) :|: z04 >= 0, z = 1 + z0 + (1 + z04 + z14), z0 >= 0, z14 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, take(activate(z09), activate(z19))) + ACTIVATE(1 + z09 + z19) :|: z19 >= 0, z0 >= 0, z09 >= 0, z = 1 + z0 + (1 + z09 + z19) ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 0) + ACTIVATE(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 0) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 LENGTH(z) -{ 1 }-> 1 + LENGTH(z1) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 LENGTH(z) -{ 1 }-> 1 + LENGTH(zeros) + ACTIVATE(1) :|: z0 >= 0, z = 1 + z0 + 1 LENGTH(z) -{ 1 }-> 1 + LENGTH(take(activate(z0'), activate(z1'))) + ACTIVATE(1 + z0' + z1') :|: z = 1 + z0 + (1 + z0' + z1'), z0' >= 0, z1' >= 0, z0 >= 0 LENGTH(z) -{ 1 }-> 1 + LENGTH(0) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 TAKE(z, z') -{ 1 }-> 1 + ACTIVATE(z2) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 activate(z) -{ 0 }-> z0 :|: z = z0, z0 >= 0 activate(z) -{ 0 }-> zeros :|: z = 1 activate(z) -{ 0 }-> take(z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 activate(z) -{ 0 }-> take(z0, zeros) :|: z0 >= 0, z = 1 + z0 + 1 activate(z) -{ 0 }-> take(z0, take(activate(z013), activate(z113))) :|: z = 1 + z0 + (1 + z013 + z113), z013 >= 0, z113 >= 0, z0 >= 0 activate(z) -{ 0 }-> take(z0, 0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 activate(z) -{ 0 }-> take(zeros, z1) :|: z1 >= 0, z = 1 + 1 + z1 activate(z) -{ 0 }-> take(zeros, zeros) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(zeros, take(activate(z011), activate(z111))) :|: z = 1 + 1 + (1 + z011 + z111), z011 >= 0, z111 >= 0 activate(z) -{ 0 }-> take(zeros, 0) :|: z1 >= 0, z = 1 + 1 + z1 activate(z) -{ 0 }-> take(take(activate(z010), activate(z110)), z1) :|: z = 1 + (1 + z010 + z110) + z1, z110 >= 0, z1 >= 0, z010 >= 0 activate(z) -{ 0 }-> take(take(activate(z010), activate(z110)), zeros) :|: z110 >= 0, z = 1 + (1 + z010 + z110) + 1, z010 >= 0 activate(z) -{ 0 }-> take(take(activate(z010), activate(z110)), take(activate(z012), activate(z112))) :|: z = 1 + (1 + z010 + z110) + (1 + z012 + z112), z110 >= 0, z112 >= 0, z012 >= 0, z010 >= 0 activate(z) -{ 0 }-> take(take(activate(z010), activate(z110)), 0) :|: z = 1 + (1 + z010 + z110) + z1, z110 >= 0, z1 >= 0, z010 >= 0 activate(z) -{ 0 }-> take(0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 activate(z) -{ 0 }-> take(0, zeros) :|: z0 >= 0, z = 1 + z0 + 1 activate(z) -{ 0 }-> take(0, take(activate(z014), activate(z114))) :|: z = 1 + z0 + (1 + z014 + z114), z114 >= 0, z014 >= 0, z0 >= 0 activate(z) -{ 0 }-> take(0, 0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 activate(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 take(z, z') -{ 0 }-> 2 :|: z0 >= 0, z = 0, z' = z0 take(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 take(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 take(z, z') -{ 0 }-> 1 + z1 + (1 + z0 + activate(z2)) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 zeros -{ 0 }-> 1 :|: zeros -{ 0 }-> 0 :|: zeros -{ 0 }-> 1 + 0 + 1 :|: ---------------------------------------- (43) InliningProof (UPPER BOUND(ID)) Inlined the following terminating rules on right-hand sides where appropriate: zeros -{ 0 }-> 0 :|: zeros -{ 0 }-> 1 + 0 + 1 :|: zeros -{ 0 }-> 1 :|: ---------------------------------------- (44) Obligation: Complexity RNTS consisting of the following rules: ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, z1) + ACTIVATE(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, z1) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, take(activate(z03), activate(z13))) + ACTIVATE(z0) :|: z = 1 + z0 + (1 + z03 + z13), z0 >= 0, z03 >= 0, z13 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, take(activate(z08), activate(z18))) + ACTIVATE(1 + z08 + z18) :|: z08 >= 0, z18 >= 0, z0 >= 0, z = 1 + z0 + (1 + z08 + z18) ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, 1) + ACTIVATE(z0) :|: z0 >= 0, z = 1 + z0 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, 1) + ACTIVATE(1) :|: z0 >= 0, z = 1 + z0 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, 0) + ACTIVATE(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, 0) + ACTIVATE(z0) :|: z0 >= 0, z = 1 + z0 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, 0) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, 0) + ACTIVATE(1) :|: z0 >= 0, z = 1 + z0 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, 1 + 0 + 1) + ACTIVATE(z0) :|: z0 >= 0, z = 1 + z0 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, 1 + 0 + 1) + ACTIVATE(1) :|: z0 >= 0, z = 1 + z0 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z0''), activate(z1'')), z1) + ACTIVATE(1 + z0'' + z1'') :|: z1 >= 0, z = 1 + (1 + z0'' + z1'') + z1, z0'' >= 0, z1'' >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z0''), activate(z1'')), take(activate(z02), activate(z12))) + ACTIVATE(1 + z0'' + z1'') :|: z02 >= 0, z12 >= 0, z = 1 + (1 + z0'' + z1'') + (1 + z02 + z12), z0'' >= 0, z1'' >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z0''), activate(z1'')), 1) + ACTIVATE(1 + z0'' + z1'') :|: z = 1 + (1 + z0'' + z1'') + 1, z0'' >= 0, z1'' >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z0''), activate(z1'')), 0) + ACTIVATE(1 + z0'' + z1'') :|: z1 >= 0, z = 1 + (1 + z0'' + z1'') + z1, z0'' >= 0, z1'' >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z0''), activate(z1'')), 0) + ACTIVATE(1 + z0'' + z1'') :|: z = 1 + (1 + z0'' + z1'') + 1, z0'' >= 0, z1'' >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z0''), activate(z1'')), 1 + 0 + 1) + ACTIVATE(1 + z0'' + z1'') :|: z = 1 + (1 + z0'' + z1'') + 1, z0'' >= 0, z1'' >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z05), activate(z15)), z1) + ACTIVATE(z1) :|: z15 >= 0, z1 >= 0, z = 1 + (1 + z05 + z15) + z1, z05 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z05), activate(z15)), take(activate(z07), activate(z17))) + ACTIVATE(1 + z07 + z17) :|: z15 >= 0, z07 >= 0, z17 >= 0, z = 1 + (1 + z05 + z15) + (1 + z07 + z17), z05 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z05), activate(z15)), 1) + ACTIVATE(1) :|: z15 >= 0, z = 1 + (1 + z05 + z15) + 1, z05 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z05), activate(z15)), 0) + ACTIVATE(z1) :|: z15 >= 0, z1 >= 0, z = 1 + (1 + z05 + z15) + z1, z05 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z05), activate(z15)), 0) + ACTIVATE(1) :|: z15 >= 0, z = 1 + (1 + z05 + z15) + 1, z05 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z05), activate(z15)), 1 + 0 + 1) + ACTIVATE(1) :|: z15 >= 0, z = 1 + (1 + z05 + z15) + 1, z05 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, z1) + ACTIVATE(z1) :|: z1 >= 0, z = 1 + 1 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, z1) + ACTIVATE(1) :|: z1 >= 0, z = 1 + 1 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, take(activate(z01), activate(z11))) + ACTIVATE(1) :|: z11 >= 0, z01 >= 0, z = 1 + 1 + (1 + z01 + z11) ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, take(activate(z06), activate(z16))) + ACTIVATE(1 + z06 + z16) :|: z = 1 + 1 + (1 + z06 + z16), z06 >= 0, z16 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, 1) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, 0) + ACTIVATE(z1) :|: z1 >= 0, z = 1 + 1 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, 0) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, 0) + ACTIVATE(1) :|: z1 >= 0, z = 1 + 1 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, 1 + 0 + 1) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, z1) + ACTIVATE(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, z1) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, z1) + ACTIVATE(z1) :|: z1 >= 0, z = 1 + 1 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, z1) + ACTIVATE(1) :|: z1 >= 0, z = 1 + 1 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, take(activate(z01), activate(z11))) + ACTIVATE(1) :|: z11 >= 0, z01 >= 0, z = 1 + 1 + (1 + z01 + z11) ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, take(activate(z04), activate(z14))) + ACTIVATE(z0) :|: z04 >= 0, z = 1 + z0 + (1 + z04 + z14), z0 >= 0, z14 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, take(activate(z06), activate(z16))) + ACTIVATE(1 + z06 + z16) :|: z = 1 + 1 + (1 + z06 + z16), z06 >= 0, z16 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, take(activate(z09), activate(z19))) + ACTIVATE(1 + z09 + z19) :|: z19 >= 0, z0 >= 0, z09 >= 0, z = 1 + z0 + (1 + z09 + z19) ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 1) + ACTIVATE(z0) :|: z0 >= 0, z = 1 + z0 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 1) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 1) + ACTIVATE(1) :|: z0 >= 0, z = 1 + z0 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 0) + ACTIVATE(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 0) + ACTIVATE(z0) :|: z0 >= 0, z = 1 + z0 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 0) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 0) + ACTIVATE(z1) :|: z1 >= 0, z = 1 + 1 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 0) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 0) + ACTIVATE(1) :|: z1 >= 0, z = 1 + 1 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 0) + ACTIVATE(1) :|: z0 >= 0, z = 1 + z0 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 1 + 0 + 1) + ACTIVATE(z0) :|: z0 >= 0, z = 1 + z0 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 1 + 0 + 1) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 1 + 0 + 1) + ACTIVATE(1) :|: z0 >= 0, z = 1 + z0 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, z1) + ACTIVATE(z1) :|: z1 >= 0, z = 1 + 1 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, z1) + ACTIVATE(1) :|: z1 >= 0, z = 1 + 1 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, take(activate(z01), activate(z11))) + ACTIVATE(1) :|: z11 >= 0, z01 >= 0, z = 1 + 1 + (1 + z01 + z11) ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, take(activate(z06), activate(z16))) + ACTIVATE(1 + z06 + z16) :|: z = 1 + 1 + (1 + z06 + z16), z06 >= 0, z16 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, 1) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, 0) + ACTIVATE(z1) :|: z1 >= 0, z = 1 + 1 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, 0) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, 0) + ACTIVATE(1) :|: z1 >= 0, z = 1 + 1 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, 1 + 0 + 1) + ACTIVATE(1) :|: z = 1 + 1 + 1 LENGTH(z) -{ 1 }-> 1 + LENGTH(z1) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 LENGTH(z) -{ 1 }-> 1 + LENGTH(take(activate(z0'), activate(z1'))) + ACTIVATE(1 + z0' + z1') :|: z = 1 + z0 + (1 + z0' + z1'), z0' >= 0, z1' >= 0, z0 >= 0 LENGTH(z) -{ 1 }-> 1 + LENGTH(1) + ACTIVATE(1) :|: z0 >= 0, z = 1 + z0 + 1 LENGTH(z) -{ 1 }-> 1 + LENGTH(0) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 LENGTH(z) -{ 1 }-> 1 + LENGTH(0) + ACTIVATE(1) :|: z0 >= 0, z = 1 + z0 + 1 LENGTH(z) -{ 1 }-> 1 + LENGTH(1 + 0 + 1) + ACTIVATE(1) :|: z0 >= 0, z = 1 + z0 + 1 TAKE(z, z') -{ 1 }-> 1 + ACTIVATE(z2) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 activate(z) -{ 0 }-> z0 :|: z = z0, z0 >= 0 activate(z) -{ 0 }-> take(z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 activate(z) -{ 0 }-> take(z0, take(activate(z013), activate(z113))) :|: z = 1 + z0 + (1 + z013 + z113), z013 >= 0, z113 >= 0, z0 >= 0 activate(z) -{ 0 }-> take(z0, 1) :|: z0 >= 0, z = 1 + z0 + 1 activate(z) -{ 0 }-> take(z0, 0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 activate(z) -{ 0 }-> take(z0, 0) :|: z0 >= 0, z = 1 + z0 + 1 activate(z) -{ 0 }-> take(z0, 1 + 0 + 1) :|: z0 >= 0, z = 1 + z0 + 1 activate(z) -{ 0 }-> take(take(activate(z010), activate(z110)), z1) :|: z = 1 + (1 + z010 + z110) + z1, z110 >= 0, z1 >= 0, z010 >= 0 activate(z) -{ 0 }-> take(take(activate(z010), activate(z110)), take(activate(z012), activate(z112))) :|: z = 1 + (1 + z010 + z110) + (1 + z012 + z112), z110 >= 0, z112 >= 0, z012 >= 0, z010 >= 0 activate(z) -{ 0 }-> take(take(activate(z010), activate(z110)), 1) :|: z110 >= 0, z = 1 + (1 + z010 + z110) + 1, z010 >= 0 activate(z) -{ 0 }-> take(take(activate(z010), activate(z110)), 0) :|: z = 1 + (1 + z010 + z110) + z1, z110 >= 0, z1 >= 0, z010 >= 0 activate(z) -{ 0 }-> take(take(activate(z010), activate(z110)), 0) :|: z110 >= 0, z = 1 + (1 + z010 + z110) + 1, z010 >= 0 activate(z) -{ 0 }-> take(take(activate(z010), activate(z110)), 1 + 0 + 1) :|: z110 >= 0, z = 1 + (1 + z010 + z110) + 1, z010 >= 0 activate(z) -{ 0 }-> take(1, z1) :|: z1 >= 0, z = 1 + 1 + z1 activate(z) -{ 0 }-> take(1, take(activate(z011), activate(z111))) :|: z = 1 + 1 + (1 + z011 + z111), z011 >= 0, z111 >= 0 activate(z) -{ 0 }-> take(1, 1) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(1, 0) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(1, 0) :|: z1 >= 0, z = 1 + 1 + z1 activate(z) -{ 0 }-> take(1, 1 + 0 + 1) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 activate(z) -{ 0 }-> take(0, z1) :|: z1 >= 0, z = 1 + 1 + z1 activate(z) -{ 0 }-> take(0, take(activate(z011), activate(z111))) :|: z = 1 + 1 + (1 + z011 + z111), z011 >= 0, z111 >= 0 activate(z) -{ 0 }-> take(0, take(activate(z014), activate(z114))) :|: z = 1 + z0 + (1 + z014 + z114), z114 >= 0, z014 >= 0, z0 >= 0 activate(z) -{ 0 }-> take(0, 1) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(0, 1) :|: z0 >= 0, z = 1 + z0 + 1 activate(z) -{ 0 }-> take(0, 0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 activate(z) -{ 0 }-> take(0, 0) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(0, 0) :|: z1 >= 0, z = 1 + 1 + z1 activate(z) -{ 0 }-> take(0, 0) :|: z0 >= 0, z = 1 + z0 + 1 activate(z) -{ 0 }-> take(0, 1 + 0 + 1) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(0, 1 + 0 + 1) :|: z0 >= 0, z = 1 + z0 + 1 activate(z) -{ 0 }-> take(1 + 0 + 1, z1) :|: z1 >= 0, z = 1 + 1 + z1 activate(z) -{ 0 }-> take(1 + 0 + 1, take(activate(z011), activate(z111))) :|: z = 1 + 1 + (1 + z011 + z111), z011 >= 0, z111 >= 0 activate(z) -{ 0 }-> take(1 + 0 + 1, 1) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(1 + 0 + 1, 0) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(1 + 0 + 1, 0) :|: z1 >= 0, z = 1 + 1 + z1 activate(z) -{ 0 }-> take(1 + 0 + 1, 1 + 0 + 1) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> 1 :|: z = 1 activate(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 activate(z) -{ 0 }-> 0 :|: z = 1 activate(z) -{ 0 }-> 1 + 0 + 1 :|: z = 1 take(z, z') -{ 0 }-> 2 :|: z0 >= 0, z = 0, z' = z0 take(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 take(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 take(z, z') -{ 0 }-> 1 + z1 + (1 + z0 + activate(z2)) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 zeros -{ 0 }-> 1 :|: zeros -{ 0 }-> 0 :|: zeros -{ 0 }-> 1 + 0 + 1 :|: ---------------------------------------- (45) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (46) Obligation: Complexity RNTS consisting of the following rules: ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, z1) + ACTIVATE(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, z1) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, take(activate(z03), activate(z13))) + ACTIVATE(z0) :|: z = 1 + z0 + (1 + z03 + z13), z0 >= 0, z03 >= 0, z13 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, take(activate(z08), activate(z18))) + ACTIVATE(1 + z08 + z18) :|: z08 >= 0, z18 >= 0, z0 >= 0, z = 1 + z0 + (1 + z08 + z18) ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, 0) + ACTIVATE(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z0, 0) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z0''), activate(z1'')), z1) + ACTIVATE(1 + z0'' + z1'') :|: z1 >= 0, z = 1 + (1 + z0'' + z1'') + z1, z0'' >= 0, z1'' >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z0''), activate(z1'')), take(activate(z02), activate(z12))) + ACTIVATE(1 + z0'' + z1'') :|: z02 >= 0, z12 >= 0, z = 1 + (1 + z0'' + z1'') + (1 + z02 + z12), z0'' >= 0, z1'' >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z0''), activate(z1'')), 1) + ACTIVATE(1 + z0'' + z1'') :|: z = 1 + (1 + z0'' + z1'') + 1, z0'' >= 0, z1'' >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z0''), activate(z1'')), 0) + ACTIVATE(1 + z0'' + z1'') :|: z1 >= 0, z = 1 + (1 + z0'' + z1'') + z1, z0'' >= 0, z1'' >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z0''), activate(z1'')), 0) + ACTIVATE(1 + z0'' + z1'') :|: z = 1 + (1 + z0'' + z1'') + 1, z0'' >= 0, z1'' >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z0''), activate(z1'')), 1 + 0 + 1) + ACTIVATE(1 + z0'' + z1'') :|: z = 1 + (1 + z0'' + z1'') + 1, z0'' >= 0, z1'' >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z05), activate(z15)), z1) + ACTIVATE(z1) :|: z15 >= 0, z1 >= 0, z = 1 + (1 + z05 + z15) + z1, z05 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z05), activate(z15)), take(activate(z07), activate(z17))) + ACTIVATE(1 + z07 + z17) :|: z15 >= 0, z07 >= 0, z17 >= 0, z = 1 + (1 + z05 + z15) + (1 + z07 + z17), z05 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z05), activate(z15)), 1) + ACTIVATE(1) :|: z15 >= 0, z = 1 + (1 + z05 + z15) + 1, z05 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z05), activate(z15)), 0) + ACTIVATE(z1) :|: z15 >= 0, z1 >= 0, z = 1 + (1 + z05 + z15) + z1, z05 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z05), activate(z15)), 0) + ACTIVATE(1) :|: z15 >= 0, z = 1 + (1 + z05 + z15) + 1, z05 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(take(activate(z05), activate(z15)), 1 + 0 + 1) + ACTIVATE(1) :|: z15 >= 0, z = 1 + (1 + z05 + z15) + 1, z05 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, take(activate(z01), activate(z11))) + ACTIVATE(1) :|: z11 >= 0, z01 >= 0, z = 1 + 1 + (1 + z01 + z11) ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, take(activate(z06), activate(z16))) + ACTIVATE(1 + z06 + z16) :|: z = 1 + 1 + (1 + z06 + z16), z06 >= 0, z16 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, 1) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, 0) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, 0) + ACTIVATE(1) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, 0) + ACTIVATE(z - 2) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, z - 2) + ACTIVATE(1) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, z - 2) + ACTIVATE(z - 2) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1, 1 + 0 + 1) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, z1) + ACTIVATE(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, z1) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, take(activate(z01), activate(z11))) + ACTIVATE(1) :|: z11 >= 0, z01 >= 0, z = 1 + 1 + (1 + z01 + z11) ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, take(activate(z04), activate(z14))) + ACTIVATE(z0) :|: z04 >= 0, z = 1 + z0 + (1 + z04 + z14), z0 >= 0, z14 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, take(activate(z06), activate(z16))) + ACTIVATE(1 + z06 + z16) :|: z = 1 + 1 + (1 + z06 + z16), z06 >= 0, z16 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, take(activate(z09), activate(z19))) + ACTIVATE(1 + z09 + z19) :|: z19 >= 0, z0 >= 0, z09 >= 0, z = 1 + z0 + (1 + z09 + z19) ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 1) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 1) + ACTIVATE(1) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 1) + ACTIVATE(z - 2) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 0) + ACTIVATE(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 0) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 0) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 0) + ACTIVATE(1) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 0) + ACTIVATE(z - 2) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, z - 2) + ACTIVATE(1) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, z - 2) + ACTIVATE(z - 2) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 1 + 0 + 1) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 1 + 0 + 1) + ACTIVATE(1) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(0, 1 + 0 + 1) + ACTIVATE(z - 2) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z - 2, 1) + ACTIVATE(1) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z - 2, 1) + ACTIVATE(z - 2) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z - 2, 0) + ACTIVATE(1) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z - 2, 0) + ACTIVATE(z - 2) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z - 2, 1 + 0 + 1) + ACTIVATE(1) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(z - 2, 1 + 0 + 1) + ACTIVATE(z - 2) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, take(activate(z01), activate(z11))) + ACTIVATE(1) :|: z11 >= 0, z01 >= 0, z = 1 + 1 + (1 + z01 + z11) ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, take(activate(z06), activate(z16))) + ACTIVATE(1 + z06 + z16) :|: z = 1 + 1 + (1 + z06 + z16), z06 >= 0, z16 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, 1) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, 0) + ACTIVATE(1) :|: z = 1 + 1 + 1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, 0) + ACTIVATE(1) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, 0) + ACTIVATE(z - 2) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, z - 2) + ACTIVATE(1) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, z - 2) + ACTIVATE(z - 2) :|: z - 2 >= 0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(1 + 0 + 1, 1 + 0 + 1) + ACTIVATE(1) :|: z = 1 + 1 + 1 LENGTH(z) -{ 1 }-> 1 + LENGTH(z1) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 LENGTH(z) -{ 1 }-> 1 + LENGTH(take(activate(z0'), activate(z1'))) + ACTIVATE(1 + z0' + z1') :|: z = 1 + z0 + (1 + z0' + z1'), z0' >= 0, z1' >= 0, z0 >= 0 LENGTH(z) -{ 1 }-> 1 + LENGTH(1) + ACTIVATE(1) :|: z - 2 >= 0 LENGTH(z) -{ 1 }-> 1 + LENGTH(0) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 LENGTH(z) -{ 1 }-> 1 + LENGTH(0) + ACTIVATE(1) :|: z - 2 >= 0 LENGTH(z) -{ 1 }-> 1 + LENGTH(1 + 0 + 1) + ACTIVATE(1) :|: z - 2 >= 0 TAKE(z, z') -{ 1 }-> 1 + ACTIVATE(z2) :|: z1 >= 0, z' = 1 + z1 + z2, z - 1 >= 0, z2 >= 0 activate(z) -{ 0 }-> z :|: z >= 0 activate(z) -{ 0 }-> take(z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 activate(z) -{ 0 }-> take(z0, take(activate(z013), activate(z113))) :|: z = 1 + z0 + (1 + z013 + z113), z013 >= 0, z113 >= 0, z0 >= 0 activate(z) -{ 0 }-> take(z0, 0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 activate(z) -{ 0 }-> take(take(activate(z010), activate(z110)), z1) :|: z = 1 + (1 + z010 + z110) + z1, z110 >= 0, z1 >= 0, z010 >= 0 activate(z) -{ 0 }-> take(take(activate(z010), activate(z110)), take(activate(z012), activate(z112))) :|: z = 1 + (1 + z010 + z110) + (1 + z012 + z112), z110 >= 0, z112 >= 0, z012 >= 0, z010 >= 0 activate(z) -{ 0 }-> take(take(activate(z010), activate(z110)), 1) :|: z110 >= 0, z = 1 + (1 + z010 + z110) + 1, z010 >= 0 activate(z) -{ 0 }-> take(take(activate(z010), activate(z110)), 0) :|: z = 1 + (1 + z010 + z110) + z1, z110 >= 0, z1 >= 0, z010 >= 0 activate(z) -{ 0 }-> take(take(activate(z010), activate(z110)), 0) :|: z110 >= 0, z = 1 + (1 + z010 + z110) + 1, z010 >= 0 activate(z) -{ 0 }-> take(take(activate(z010), activate(z110)), 1 + 0 + 1) :|: z110 >= 0, z = 1 + (1 + z010 + z110) + 1, z010 >= 0 activate(z) -{ 0 }-> take(1, take(activate(z011), activate(z111))) :|: z = 1 + 1 + (1 + z011 + z111), z011 >= 0, z111 >= 0 activate(z) -{ 0 }-> take(1, 1) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(1, 0) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(1, 0) :|: z - 2 >= 0 activate(z) -{ 0 }-> take(1, z - 2) :|: z - 2 >= 0 activate(z) -{ 0 }-> take(1, 1 + 0 + 1) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 activate(z) -{ 0 }-> take(0, take(activate(z011), activate(z111))) :|: z = 1 + 1 + (1 + z011 + z111), z011 >= 0, z111 >= 0 activate(z) -{ 0 }-> take(0, take(activate(z014), activate(z114))) :|: z = 1 + z0 + (1 + z014 + z114), z114 >= 0, z014 >= 0, z0 >= 0 activate(z) -{ 0 }-> take(0, 1) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(0, 1) :|: z - 2 >= 0 activate(z) -{ 0 }-> take(0, 0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 activate(z) -{ 0 }-> take(0, 0) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(0, 0) :|: z - 2 >= 0 activate(z) -{ 0 }-> take(0, z - 2) :|: z - 2 >= 0 activate(z) -{ 0 }-> take(0, 1 + 0 + 1) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(0, 1 + 0 + 1) :|: z - 2 >= 0 activate(z) -{ 0 }-> take(z - 2, 1) :|: z - 2 >= 0 activate(z) -{ 0 }-> take(z - 2, 0) :|: z - 2 >= 0 activate(z) -{ 0 }-> take(z - 2, 1 + 0 + 1) :|: z - 2 >= 0 activate(z) -{ 0 }-> take(1 + 0 + 1, take(activate(z011), activate(z111))) :|: z = 1 + 1 + (1 + z011 + z111), z011 >= 0, z111 >= 0 activate(z) -{ 0 }-> take(1 + 0 + 1, 1) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(1 + 0 + 1, 0) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> take(1 + 0 + 1, 0) :|: z - 2 >= 0 activate(z) -{ 0 }-> take(1 + 0 + 1, z - 2) :|: z - 2 >= 0 activate(z) -{ 0 }-> take(1 + 0 + 1, 1 + 0 + 1) :|: z = 1 + 1 + 1 activate(z) -{ 0 }-> 1 :|: z = 1 activate(z) -{ 0 }-> 0 :|: z >= 0 activate(z) -{ 0 }-> 0 :|: z = 1 activate(z) -{ 0 }-> 1 + 0 + 1 :|: z = 1 take(z, z') -{ 0 }-> 2 :|: z' >= 0, z = 0 take(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 take(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 take(z, z') -{ 0 }-> 1 + z1 + (1 + (z - 1) + activate(z2)) :|: z1 >= 0, z' = 1 + z1 + z2, z - 1 >= 0, z2 >= 0 zeros -{ 0 }-> 1 :|: zeros -{ 0 }-> 0 :|: zeros -{ 0 }-> 1 + 0 + 1 :|: ---------------------------------------- (47) 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: activate(v0) -> null_activate [0] zeros -> null_zeros [0] take(v0, v1) -> null_take [0] LENGTH(v0) -> null_LENGTH [0] TAKE(v0, v1) -> null_TAKE [0] ACTIVATE(v0) -> null_ACTIVATE [0] And the following fresh constants: null_activate, null_zeros, null_take, null_LENGTH, null_TAKE, null_ACTIVATE ---------------------------------------- (48) 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: LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) [1] TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) [1] ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) [1] ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) [1] activate(n__zeros) -> zeros [0] activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) [0] activate(z0) -> z0 [0] zeros -> cons(0, n__zeros) [0] zeros -> n__zeros [0] take(0, z0) -> nil [0] take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) [0] take(z0, z1) -> n__take(z0, z1) [0] activate(v0) -> null_activate [0] zeros -> null_zeros [0] take(v0, v1) -> null_take [0] LENGTH(v0) -> null_LENGTH [0] TAKE(v0, v1) -> null_TAKE [0] ACTIVATE(v0) -> null_ACTIVATE [0] The TRS has the following type information: LENGTH :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> c4:null_LENGTH cons :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take c4 :: c4:null_LENGTH -> c9:c10:null_ACTIVATE -> c4:null_LENGTH activate :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take ACTIVATE :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> c9:c10:null_ACTIVATE TAKE :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> c6:null_TAKE s :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take c6 :: c9:c10:null_ACTIVATE -> c6:null_TAKE n__take :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take c9 :: c6:null_TAKE -> c9:c10:null_ACTIVATE -> c9:c10:null_ACTIVATE c10 :: c6:null_TAKE -> c9:c10:null_ACTIVATE -> c9:c10:null_ACTIVATE n__zeros :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take zeros :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take take :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take -> cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take 0 :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take nil :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take null_activate :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take null_zeros :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take null_take :: cons:s:n__take:n__zeros:0:nil:null_activate:null_zeros:null_take null_LENGTH :: c4:null_LENGTH null_TAKE :: c6:null_TAKE null_ACTIVATE :: c9:c10:null_ACTIVATE Rewrite Strategy: INNERMOST ---------------------------------------- (49) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: n__zeros => 1 0 => 0 nil => 2 null_activate => 0 null_zeros => 0 null_take => 0 null_LENGTH => 0 null_TAKE => 0 null_ACTIVATE => 0 ---------------------------------------- (50) Obligation: Complexity RNTS consisting of the following rules: ACTIVATE(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 ACTIVATE(z) -{ 1 }-> 1 + TAKE(activate(z0), activate(z1)) + ACTIVATE(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ACTIVATE(z) -{ 1 }-> 1 + TAKE(activate(z0), activate(z1)) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 LENGTH(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 LENGTH(z) -{ 1 }-> 1 + LENGTH(activate(z1)) + ACTIVATE(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 TAKE(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 TAKE(z, z') -{ 1 }-> 1 + ACTIVATE(z2) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 activate(z) -{ 0 }-> z0 :|: z = z0, z0 >= 0 activate(z) -{ 0 }-> zeros :|: z = 1 activate(z) -{ 0 }-> take(activate(z0), activate(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 activate(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 take(z, z') -{ 0 }-> 2 :|: z0 >= 0, z = 0, z' = z0 take(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 take(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 take(z, z') -{ 0 }-> 1 + z1 + (1 + z0 + activate(z2)) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 zeros -{ 0 }-> 1 :|: zeros -{ 0 }-> 0 :|: zeros -{ 0 }-> 1 + 0 + 1 :|: Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (51) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace LENGTH(cons(z0, z1)) -> c4(LENGTH(activate(z1)), ACTIVATE(z1)) by LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros), ACTIVATE(n__zeros)) LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ---------------------------------------- (52) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros), ACTIVATE(n__zeros)) LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros), ACTIVATE(n__zeros)) LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) K tuples:none Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, ACTIVATE_1, LENGTH_1 Compound Symbols: c6_1, c9_2, c10_2, c4_2 ---------------------------------------- (53) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (54) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) K tuples:none Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, ACTIVATE_1, LENGTH_1 Compound Symbols: c6_1, c9_2, c10_2, c4_2, c4_1 ---------------------------------------- (55) CdtRuleRemovalProof (UPPER BOUND(ADD(n^1))) Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S. LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) We considered the (Usable) Rules: take(z0, z1) -> n__take(z0, z1) take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(0, z0) -> nil zeros -> n__zeros zeros -> cons(0, n__zeros) And the Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) The order we found is given by the following interpretation: Polynomial interpretation : POL(0) = [1] POL(ACTIVATE(x_1)) = 0 POL(LENGTH(x_1)) = x_1 POL(TAKE(x_1, x_2)) = 0 POL(activate(x_1)) = 0 POL(c10(x_1, x_2)) = x_1 + x_2 POL(c4(x_1)) = x_1 POL(c4(x_1, x_2)) = x_1 + x_2 POL(c6(x_1)) = x_1 POL(c9(x_1, x_2)) = x_1 + x_2 POL(cons(x_1, x_2)) = [1] + x_2 POL(n__take(x_1, x_2)) = 0 POL(n__zeros) = 0 POL(nil) = [1] POL(s(x_1)) = [1] + x_1 POL(take(x_1, x_2)) = [1] POL(zeros) = [1] ---------------------------------------- (56) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, ACTIVATE_1, LENGTH_1 Compound Symbols: c6_1, c9_2, c10_2, c4_2, c4_1 ---------------------------------------- (57) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(z0, z1)) -> c9(TAKE(activate(z0), activate(z1)), ACTIVATE(z0)) by ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1)), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ---------------------------------------- (58) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1)), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1)), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, ACTIVATE_1, LENGTH_1 Compound Symbols: c6_1, c10_2, c4_2, c4_1, c9_2 ---------------------------------------- (59) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (60) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, ACTIVATE_1, LENGTH_1 Compound Symbols: c6_1, c10_2, c4_2, c4_1, c9_2, c9_1 ---------------------------------------- (61) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(z0, z1)) -> c10(TAKE(activate(z0), activate(z1)), ACTIVATE(z1)) by ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros), ACTIVATE(n__zeros)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ---------------------------------------- (62) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros), ACTIVATE(n__zeros)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros), ACTIVATE(n__zeros)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c4_1, c9_2, c9_1, c10_2 ---------------------------------------- (63) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (64) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c4_1, c9_2, c9_1, c10_2, c10_1 ---------------------------------------- (65) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace LENGTH(cons(x0, n__take(z0, z1))) -> c4(LENGTH(take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) by LENGTH(cons(x0, n__take(x1, x2))) -> c4(LENGTH(n__take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ---------------------------------------- (66) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(LENGTH(n__take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(LENGTH(n__take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c4_1, c9_2, c9_1, c10_2, c10_1 ---------------------------------------- (67) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (68) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c4_1, c9_2, c9_1, c10_2, c10_1 ---------------------------------------- (69) CdtRuleRemovalProof (UPPER BOUND(ADD(n^1))) Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S. LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) We considered the (Usable) Rules:none And the Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) The order we found is given by the following interpretation: Polynomial interpretation : POL(0) = [1] POL(ACTIVATE(x_1)) = 0 POL(LENGTH(x_1)) = [1] POL(TAKE(x_1, x_2)) = 0 POL(activate(x_1)) = [1] POL(c10(x_1)) = x_1 POL(c10(x_1, x_2)) = x_1 + x_2 POL(c4(x_1)) = x_1 POL(c4(x_1, x_2)) = x_1 + x_2 POL(c6(x_1)) = x_1 POL(c9(x_1)) = x_1 POL(c9(x_1, x_2)) = x_1 + x_2 POL(cons(x_1, x_2)) = [1] + x_1 POL(n__take(x_1, x_2)) = 0 POL(n__zeros) = [1] POL(nil) = [1] POL(s(x_1)) = [1] + x_1 POL(take(x_1, x_2)) = [1] POL(zeros) = 0 ---------------------------------------- (70) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c4_1, c9_2, c9_1, c10_2, c10_1 ---------------------------------------- (71) CdtRuleRemovalProof (UPPER BOUND(ADD(n^1))) Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S. LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) We considered the (Usable) Rules: take(z0, z1) -> n__take(z0, z1) take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) zeros -> n__zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) take(0, z0) -> nil activate(z0) -> z0 zeros -> cons(0, n__zeros) activate(n__zeros) -> zeros And the Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) The order we found is given by the following interpretation: Polynomial interpretation : POL(0) = [1] POL(ACTIVATE(x_1)) = 0 POL(LENGTH(x_1)) = [1] + x_1 POL(TAKE(x_1, x_2)) = 0 POL(activate(x_1)) = [1] + x_1 POL(c10(x_1)) = x_1 POL(c10(x_1, x_2)) = x_1 + x_2 POL(c4(x_1)) = x_1 POL(c4(x_1, x_2)) = x_1 + x_2 POL(c6(x_1)) = x_1 POL(c9(x_1)) = x_1 POL(c9(x_1, x_2)) = x_1 + x_2 POL(cons(x_1, x_2)) = [1] + x_2 POL(n__take(x_1, x_2)) = x_1 POL(n__zeros) = 0 POL(nil) = [1] POL(s(x_1)) = [1] + x_1 POL(take(x_1, x_2)) = x_1 POL(zeros) = [1] ---------------------------------------- (72) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c4_1, c9_2, c9_1, c10_2, c10_1 ---------------------------------------- (73) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(zeros)) by LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(n__zeros)) ---------------------------------------- (74) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(n__zeros)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(n__zeros)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c9_2, c9_1, c10_2, c10_1, c4_1 ---------------------------------------- (75) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(n__zeros)) ---------------------------------------- (76) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c9_2, c9_1, c10_2, c10_1, c4_1 ---------------------------------------- (77) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), zeros), ACTIVATE(x0)) by ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), n__zeros), ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ---------------------------------------- (78) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), n__zeros), ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), n__zeros), ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c9_2, c9_1, c10_2, c10_1, c4_1 ---------------------------------------- (79) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (80) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c9_2, c9_1, c10_2, c10_1, c4_1 ---------------------------------------- (81) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(x0)) by ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(TAKE(activate(x0), n__take(activate(x1), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ---------------------------------------- (82) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(TAKE(activate(x0), n__take(activate(x1), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(TAKE(activate(x0), n__take(activate(x1), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c9_2, c9_1, c10_2, c10_1, c4_1 ---------------------------------------- (83) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (84) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c9_2, c9_1, c10_2, c10_1, c4_1 ---------------------------------------- (85) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(x0, z0)) -> c9(TAKE(activate(x0), z0), ACTIVATE(x0)) by ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ---------------------------------------- (86) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c9_2, c9_1, c10_2, c10_1, c4_1 ---------------------------------------- (87) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (88) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c9_2, c9_1, c10_2, c10_1, c4_1 ---------------------------------------- (89) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(n__take(z0, z1))) by ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c9(TAKE(take(activate(x0), activate(x1)), zeros), ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(n__take(x0, x1), n__take(z0, z1))) -> c9(TAKE(take(activate(x0), activate(x1)), take(activate(z0), activate(z1))), ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(n__take(x0, x1), z0)) -> c9(TAKE(take(activate(x0), activate(x1)), z0), ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(TAKE(n__take(activate(x0), activate(x1)), activate(x2)), ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ---------------------------------------- (90) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(TAKE(n__take(activate(x0), activate(x1)), activate(x2)), ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(TAKE(n__take(activate(x0), activate(x1)), activate(x2)), ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c9_2, c9_1, c10_2, c10_1, c4_1 ---------------------------------------- (91) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (92) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c9_2, c9_1, c10_2, c10_1, c4_1 ---------------------------------------- (93) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, activate(x1)), ACTIVATE(z0)) by ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(x0, zeros), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c9(TAKE(x0, take(activate(z0), activate(z1))), ACTIVATE(x0)) ACTIVATE(n__take(x0, z0)) -> c9(TAKE(x0, z0), ACTIVATE(x0)) ---------------------------------------- (94) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c9_1, c10_2, c10_1, c4_1, c9_2 ---------------------------------------- (95) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, activate(x1))) by ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, n__take(z0, z1))) -> c9(TAKE(zeros, take(activate(z0), activate(z1)))) ACTIVATE(n__take(n__zeros, z0)) -> c9(TAKE(zeros, z0)) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(cons(0, n__zeros), activate(x0))) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(n__zeros, activate(x0))) ---------------------------------------- (96) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(cons(0, n__zeros), activate(x0))) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(n__zeros, activate(x0))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(cons(0, n__zeros), activate(x0))) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(n__zeros, activate(x0))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c10_2, c10_1, c4_1, c9_2, c9_1 ---------------------------------------- (97) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(cons(0, n__zeros), activate(x0))) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(n__zeros, activate(x0))) ---------------------------------------- (98) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c10_2, c10_1, c4_1, c9_2, c9_1 ---------------------------------------- (99) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(activate(x0), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) by ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(TAKE(activate(x0), n__take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ---------------------------------------- (100) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(TAKE(activate(x0), n__take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(TAKE(activate(x0), n__take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c10_2, c10_1, c4_1, c9_2, c9_1 ---------------------------------------- (101) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (102) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c10_2, c10_1, c4_1, c9_2, c9_1 ---------------------------------------- (103) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(x0, z0)) -> c10(TAKE(activate(x0), z0), ACTIVATE(z0)) by ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ---------------------------------------- (104) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c10_2, c10_1, c4_1, c9_2, c9_1 ---------------------------------------- (105) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, activate(x1)), ACTIVATE(x1)) by ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__zeros, n__take(z0, z1))) -> c10(TAKE(zeros, take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(n__zeros, z0)) -> c10(TAKE(zeros, z0), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x0)) -> c10(TAKE(cons(0, n__zeros), activate(x0)), ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, x0)) -> c10(TAKE(n__zeros, activate(x0)), ACTIVATE(x0)) ---------------------------------------- (106) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(TAKE(cons(0, n__zeros), activate(x0)), ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, x0)) -> c10(TAKE(n__zeros, activate(x0)), ACTIVATE(x0)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(TAKE(cons(0, n__zeros), activate(x0)), ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, x0)) -> c10(TAKE(n__zeros, activate(x0)), ACTIVATE(x0)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c10_2, c10_1, c4_1, c9_2, c9_1 ---------------------------------------- (107) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (108) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c10_2, c10_1, c4_1, c9_2, c9_1 ---------------------------------------- (109) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), activate(x1)), ACTIVATE(x1)) by ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__take(x0, x1), n__take(z0, z1))) -> c10(TAKE(take(activate(x0), activate(x1)), take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(n__take(x0, x1), z0)) -> c10(TAKE(take(activate(x0), activate(x1)), z0), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(TAKE(n__take(activate(x0), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ---------------------------------------- (110) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(TAKE(n__take(activate(x0), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros), ACTIVATE(n__zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(TAKE(n__take(activate(x0), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c10_2, c10_1, c4_1, c9_2, c9_1 ---------------------------------------- (111) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (112) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c10_2, c10_1, c4_1, c9_2, c9_1 ---------------------------------------- (113) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, activate(x1)), ACTIVATE(x1)) by ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros), ACTIVATE(n__zeros)) ACTIVATE(n__take(x0, n__take(z0, z1))) -> c10(TAKE(x0, take(activate(z0), activate(z1))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, z0)) -> c10(TAKE(x0, z0), ACTIVATE(z0)) ---------------------------------------- (114) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros), ACTIVATE(n__zeros)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros), ACTIVATE(n__zeros)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c10_1, c4_1, c9_2, c9_1, c10_2 ---------------------------------------- (115) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (116) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c10_1, c4_1, c9_2, c9_1, c10_2 ---------------------------------------- (117) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), zeros)) by ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), n__zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c10(TAKE(take(activate(z0), activate(z1)), zeros)) ACTIVATE(n__take(z0, n__zeros)) -> c10(TAKE(z0, zeros)) ---------------------------------------- (118) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), n__zeros)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), n__zeros)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c4_1, c9_2, c9_1, c10_2, c10_1 ---------------------------------------- (119) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), n__zeros)) ---------------------------------------- (120) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c4_1, c9_2, c9_1, c10_2, c10_1 ---------------------------------------- (121) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) by ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(cons(0, n__zeros), x0)) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(n__zeros, x0)) ---------------------------------------- (122) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, x1)) -> c9(TAKE(zeros, x1)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(cons(0, n__zeros), x0)) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(n__zeros, x0)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(cons(0, n__zeros), x0)) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(n__zeros, x0)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c4_1, c9_2, c9_1, c10_2, c10_1 ---------------------------------------- (123) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(cons(0, n__zeros), x0)) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(n__zeros, x0)) ---------------------------------------- (124) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(n__zeros, z0)) -> c9(TAKE(zeros, z0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c4_1, c9_2, c9_1, c10_2, c10_1 ---------------------------------------- (125) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(n__zeros, z0)) -> c9(TAKE(zeros, z0)) by ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(cons(0, n__zeros), x0)) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(n__zeros, x0)) ---------------------------------------- (126) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(cons(0, n__zeros), x0)) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(n__zeros, x0)) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c4_1, c9_2, c9_1, c10_2, c10_1 ---------------------------------------- (127) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(n__zeros, x0)) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(cons(0, n__zeros), x0)) ---------------------------------------- (128) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) S tuples: TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: TAKE_2, LENGTH_1, ACTIVATE_1 Compound Symbols: c6_1, c4_2, c4_1, c9_2, c9_1, c10_2, c10_1 ---------------------------------------- (129) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace TAKE(s(z0), cons(z1, z2)) -> c6(ACTIVATE(z2)) by TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ---------------------------------------- (130) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (131) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) ---------------------------------------- (132) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(activate(x0), cons(0, n__zeros)), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (133) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (134) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (135) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) by ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, n__zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(cons(0, n__zeros), zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(n__zeros, zeros)) ---------------------------------------- (136) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, n__zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(cons(0, n__zeros), zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(n__zeros, zeros)) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, n__zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(cons(0, n__zeros), zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(n__zeros, zeros)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (137) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing nodes: ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(n__zeros, zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, n__zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(cons(0, n__zeros), zeros)) ---------------------------------------- (138) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (139) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, zeros)) by ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, n__zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(cons(0, n__zeros), zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(n__zeros, zeros)) ---------------------------------------- (140) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, n__zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(cons(0, n__zeros), zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(n__zeros, zeros)) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (141) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing nodes: ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(n__zeros, zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, n__zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(cons(0, n__zeros), zeros)) ---------------------------------------- (142) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (143) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) by ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, n__zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(cons(0, n__zeros), zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(n__zeros, zeros)) ---------------------------------------- (144) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, n__zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(cons(0, n__zeros), zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(n__zeros, zeros)) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, n__zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(cons(0, n__zeros), zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(n__zeros, zeros)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (145) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing nodes: ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(cons(0, n__zeros), zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, n__zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(n__zeros, zeros)) ---------------------------------------- (146) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (147) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) by ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, n__zeros)) ---------------------------------------- (148) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, n__zeros)) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, n__zeros)) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (149) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, n__zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, cons(0, n__zeros))) ---------------------------------------- (150) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) ACTIVATE(n__take(z0, n__zeros)) -> c10(TAKE(z0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (151) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, zeros)) by ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, n__zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(cons(0, n__zeros), zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(n__zeros, zeros)) ---------------------------------------- (152) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(z0, n__zeros)) -> c10(TAKE(z0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, n__zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(cons(0, n__zeros), zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(n__zeros, zeros)) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (153) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing nodes: ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, n__zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(cons(0, n__zeros), zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(zeros, cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(n__zeros, zeros)) ---------------------------------------- (154) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) ACTIVATE(n__take(z0, n__zeros)) -> c10(TAKE(z0, zeros)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (155) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ACTIVATE(n__take(z0, n__zeros)) -> c10(TAKE(z0, zeros)) by ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, n__zeros)) ---------------------------------------- (156) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, n__zeros)) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (157) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, n__zeros)) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, cons(0, n__zeros))) ---------------------------------------- (158) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) K tuples: LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (159) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace LENGTH(cons(x0, z0)) -> c4(LENGTH(z0), ACTIVATE(z0)) by LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1)), ACTIVATE(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros))), ACTIVATE(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3)))), ACTIVATE(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2))), ACTIVATE(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1))), ACTIVATE(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3))), ACTIVATE(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros)), ACTIVATE(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(LENGTH(n__take(n__take(y0, y1), n__zeros)), ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(LENGTH(n__take(y0, n__zeros)), ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(n__take(y0, n__take(y1, n__zeros))), ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(n__take(y0, n__take(y1, n__take(y2, y3)))), ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(LENGTH(n__take(y0, n__take(y1, y2))), ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(n__take(y0, n__take(n__zeros, y1))), ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(n__take(y0, n__take(n__take(y1, y2), y3))), ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(LENGTH(n__take(n__take(y0, y1), n__take(y2, y3))), ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(LENGTH(n__take(n__zeros, n__take(y0, y1))), ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(LENGTH(n__take(n__take(y0, y1), y2)), ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(y0, y1))) -> c4(LENGTH(n__take(y0, y1)), ACTIVATE(n__take(y0, y1))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(LENGTH(n__take(n__take(y0, n__zeros), y1)), ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(LENGTH(n__take(n__take(y0, n__take(y1, y2)), y3)), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(LENGTH(n__take(n__take(n__zeros, y0), y1)), ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(LENGTH(n__take(n__take(n__take(y0, y1), y2), y3)), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(LENGTH(n__take(n__zeros, y0)), ACTIVATE(n__take(n__zeros, y0))) ---------------------------------------- (160) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1)), ACTIVATE(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros))), ACTIVATE(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3)))), ACTIVATE(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2))), ACTIVATE(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1))), ACTIVATE(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3))), ACTIVATE(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros)), ACTIVATE(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(LENGTH(n__take(n__take(y0, y1), n__zeros)), ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(LENGTH(n__take(y0, n__zeros)), ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(n__take(y0, n__take(y1, n__zeros))), ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(n__take(y0, n__take(y1, n__take(y2, y3)))), ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(LENGTH(n__take(y0, n__take(y1, y2))), ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(n__take(y0, n__take(n__zeros, y1))), ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(n__take(y0, n__take(n__take(y1, y2), y3))), ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(LENGTH(n__take(n__take(y0, y1), n__take(y2, y3))), ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(LENGTH(n__take(n__zeros, n__take(y0, y1))), ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(LENGTH(n__take(n__take(y0, y1), y2)), ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(y0, y1))) -> c4(LENGTH(n__take(y0, y1)), ACTIVATE(n__take(y0, y1))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(LENGTH(n__take(n__take(y0, n__zeros), y1)), ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(LENGTH(n__take(n__take(y0, n__take(y1, y2)), y3)), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(LENGTH(n__take(n__take(n__zeros, y0), y1)), ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(LENGTH(n__take(n__take(n__take(y0, y1), y2), y3)), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(LENGTH(n__take(n__zeros, y0)), ACTIVATE(n__take(n__zeros, y0))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) K tuples: LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1)), ACTIVATE(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros))), ACTIVATE(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3)))), ACTIVATE(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2))), ACTIVATE(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1))), ACTIVATE(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3))), ACTIVATE(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros)), ACTIVATE(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(LENGTH(n__take(n__take(y0, y1), n__zeros)), ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(LENGTH(n__take(y0, n__zeros)), ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(n__take(y0, n__take(y1, n__zeros))), ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(n__take(y0, n__take(y1, n__take(y2, y3)))), ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(LENGTH(n__take(y0, n__take(y1, y2))), ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(n__take(y0, n__take(n__zeros, y1))), ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(n__take(y0, n__take(n__take(y1, y2), y3))), ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(LENGTH(n__take(n__take(y0, y1), n__take(y2, y3))), ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(LENGTH(n__take(n__zeros, n__take(y0, y1))), ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(LENGTH(n__take(n__take(y0, y1), y2)), ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(y0, y1))) -> c4(LENGTH(n__take(y0, y1)), ACTIVATE(n__take(y0, y1))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(LENGTH(n__take(n__take(y0, n__zeros), y1)), ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(LENGTH(n__take(n__take(y0, n__take(y1, y2)), y3)), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(LENGTH(n__take(n__take(n__zeros, y0), y1)), ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(LENGTH(n__take(n__take(n__take(y0, y1), y2), y3)), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(LENGTH(n__take(n__zeros, y0)), ACTIVATE(n__take(n__zeros, y0))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (161) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 23 trailing tuple parts ---------------------------------------- (162) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) K tuples: LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (163) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) by ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(y0, y1), n__zeros), zeros), ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(TAKE(n__take(y0, n__zeros), zeros), ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(y1, n__zeros)), zeros), ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(TAKE(n__take(y0, n__take(y1, n__take(y2, y3))), zeros), ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(y1, y2)), zeros), ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(n__zeros, y1)), zeros), ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(n__take(y1, y2), y3)), zeros), ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(y0, y1), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(TAKE(n__take(n__zeros, n__take(y0, y1)), zeros), ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(TAKE(n__take(n__take(y0, y1), y2), zeros), ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(TAKE(n__take(y0, y1), zeros), ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__zeros), y1), zeros), ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), y3), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(TAKE(n__take(n__take(n__zeros, y0), y1), zeros), ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), y2), y3), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(TAKE(n__take(n__zeros, y0), zeros), ACTIVATE(n__take(n__zeros, y0))) ---------------------------------------- (164) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(y0, y1), n__zeros), zeros), ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(TAKE(n__take(y0, n__zeros), zeros), ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(y1, n__zeros)), zeros), ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(TAKE(n__take(y0, n__take(y1, n__take(y2, y3))), zeros), ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(y1, y2)), zeros), ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(n__zeros, y1)), zeros), ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(n__take(y1, y2), y3)), zeros), ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(y0, y1), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(TAKE(n__take(n__zeros, n__take(y0, y1)), zeros), ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(TAKE(n__take(n__take(y0, y1), y2), zeros), ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(TAKE(n__take(y0, y1), zeros), ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__zeros), y1), zeros), ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), y3), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(TAKE(n__take(n__take(n__zeros, y0), y1), zeros), ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), y2), y3), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(TAKE(n__take(n__zeros, y0), zeros), ACTIVATE(n__take(n__zeros, y0))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(y0, y1), n__zeros), zeros), ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(TAKE(n__take(y0, n__zeros), zeros), ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(y1, n__zeros)), zeros), ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(TAKE(n__take(y0, n__take(y1, n__take(y2, y3))), zeros), ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(y1, y2)), zeros), ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(n__zeros, y1)), zeros), ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(n__take(y1, y2), y3)), zeros), ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(y0, y1), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(TAKE(n__take(n__zeros, n__take(y0, y1)), zeros), ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(TAKE(n__take(n__take(y0, y1), y2), zeros), ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(TAKE(n__take(y0, y1), zeros), ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__zeros), y1), zeros), ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), y3), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(TAKE(n__take(n__take(n__zeros, y0), y1), zeros), ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), y2), y3), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(TAKE(n__take(n__zeros, y0), zeros), ACTIVATE(n__take(n__zeros, y0))) K tuples: LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (165) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 16 trailing tuple parts ---------------------------------------- (166) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) K tuples: LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (167) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) by ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ---------------------------------------- (168) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) K tuples: LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (169) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace ACTIVATE(n__take(x0, n__take(x1, x2))) -> c9(ACTIVATE(x0)) by ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ---------------------------------------- (170) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) K tuples: LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (171) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) by ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, y1), n__zeros), z1), ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), z1)) -> c9(TAKE(n__take(y0, n__take(y1, n__zeros)), z1), ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), z1)) -> c9(TAKE(n__take(y0, n__take(y1, n__take(y2, y3))), z1), ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), z1)) -> c9(TAKE(n__take(y0, n__take(y1, y2)), z1), ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), z1)) -> c9(TAKE(n__take(y0, n__take(n__zeros, y1)), z1), ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), z1)) -> c9(TAKE(n__take(y0, n__take(n__take(y1, y2), y3)), z1), ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(y0, y1), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), z1)) -> c9(TAKE(n__take(n__zeros, n__take(y0, y1)), z1), ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), z1)) -> c9(TAKE(n__take(n__take(y0, y1), y2), z1), ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), z1)) -> c9(TAKE(n__take(y0, y1), z1), ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), z1)) -> c9(TAKE(n__take(n__take(y0, n__zeros), y1), z1), ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), y3), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), z1)) -> c9(TAKE(n__take(n__take(n__zeros, y0), y1), z1), ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), y2), y3), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), z1)) -> c9(TAKE(n__take(y0, n__zeros), z1), ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), z1)) -> c9(TAKE(n__take(n__zeros, y0), z1), ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__zeros))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__zeros))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, y3))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, y2))), ACTIVATE(s(y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), z1), ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), y2), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__zeros, y0), n__zeros), z1), ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), z1)) -> c9(TAKE(n__take(n__take(y0, n__zeros), n__take(y1, y2)), z1), ACTIVATE(n__take(n__take(y0, n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), z1)) -> c9(TAKE(n__take(n__take(n__zeros, y0), n__take(y1, y2)), z1), ACTIVATE(n__take(n__take(n__zeros, y0), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), z1), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), z1), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) ---------------------------------------- (172) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, y1), n__zeros), z1), ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), z1)) -> c9(TAKE(n__take(y0, n__take(y1, n__zeros)), z1), ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), z1)) -> c9(TAKE(n__take(y0, n__take(y1, n__take(y2, y3))), z1), ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), z1)) -> c9(TAKE(n__take(y0, n__take(y1, y2)), z1), ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), z1)) -> c9(TAKE(n__take(y0, n__take(n__zeros, y1)), z1), ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), z1)) -> c9(TAKE(n__take(y0, n__take(n__take(y1, y2), y3)), z1), ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(y0, y1), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), z1)) -> c9(TAKE(n__take(n__zeros, n__take(y0, y1)), z1), ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), z1)) -> c9(TAKE(n__take(n__take(y0, y1), y2), z1), ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), z1)) -> c9(TAKE(n__take(y0, y1), z1), ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), z1)) -> c9(TAKE(n__take(n__take(y0, n__zeros), y1), z1), ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), y3), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), z1)) -> c9(TAKE(n__take(n__take(n__zeros, y0), y1), z1), ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), y2), y3), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), z1)) -> c9(TAKE(n__take(y0, n__zeros), z1), ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), z1)) -> c9(TAKE(n__take(n__zeros, y0), z1), ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__zeros))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__zeros))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, y3))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, y2))), ACTIVATE(s(y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), z1), ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), y2), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), 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c9(TAKE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) 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n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, y1), n__zeros), z1), ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), z1)) -> c9(TAKE(n__take(y0, n__take(y1, n__zeros)), z1), ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), z1)) -> c9(TAKE(n__take(y0, n__take(y1, n__take(y2, y3))), z1), ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), z1)) -> c9(TAKE(n__take(y0, n__take(y1, y2)), z1), ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), z1)) -> c9(TAKE(n__take(y0, n__take(n__zeros, y1)), z1), ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), z1)) -> c9(TAKE(n__take(y0, n__take(n__take(y1, y2), y3)), z1), ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(y0, y1), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), z1)) -> c9(TAKE(n__take(n__zeros, n__take(y0, y1)), z1), ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), z1)) -> c9(TAKE(n__take(n__take(y0, y1), y2), z1), ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), z1)) -> c9(TAKE(n__take(y0, y1), z1), ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), z1)) -> c9(TAKE(n__take(n__take(y0, n__zeros), y1), z1), ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), y3), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), z1)) -> c9(TAKE(n__take(n__take(n__zeros, y0), y1), z1), ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), y2), y3), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), z1)) -> c9(TAKE(n__take(y0, n__zeros), z1), ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), z1)) -> c9(TAKE(n__take(n__zeros, y0), z1), ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__zeros))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__zeros))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, y3))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, y2))), ACTIVATE(s(y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1), 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y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), z1), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) K tuples: LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (173) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 108 trailing tuple parts ---------------------------------------- (174) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__zeros)) -> c9(TAKE(z0, zeros), ACTIVATE(z0)) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), z1)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), z1)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), z1)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), z1)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), z1)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), z1)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) K tuples: LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (175) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace ACTIVATE(n__take(x0, n__zeros)) -> c9(TAKE(x0, zeros), ACTIVATE(x0)) by ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(y0, y1), n__zeros), zeros), ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(y1, n__zeros)), zeros), ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(TAKE(n__take(y0, n__take(y1, n__take(y2, y3))), zeros), ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(y1, y2)), zeros), ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(n__zeros, y1)), zeros), ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(n__take(y1, y2), y3)), zeros), ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(y0, y1), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(TAKE(n__take(n__zeros, n__take(y0, y1)), zeros), ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(TAKE(n__take(n__take(y0, y1), y2), zeros), ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__zeros), y1), zeros), ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), y3), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(TAKE(n__take(n__take(n__zeros, y0), y1), zeros), ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), y2), y3), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(TAKE(n__take(y0, n__zeros), zeros), ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(TAKE(n__take(y0, y1), zeros), ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(TAKE(n__take(n__zeros, y0), zeros), ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), n__zeros), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), zeros), ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), zeros), ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), zeros), ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), y2), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__zeros, y0), n__zeros), zeros), ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__zeros), n__take(y1, y2)), zeros), ACTIVATE(n__take(n__take(y0, n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), n__zeros)) -> c9(TAKE(n__take(n__take(n__zeros, y0), n__take(y1, y2)), zeros), ACTIVATE(n__take(n__take(n__zeros, y0), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), zeros), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), y2), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__zeros)), y2), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), y2), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(n__zeros, y1)), y2), zeros), ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4), zeros), ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__zeros, n__take(y0, y1)), y2), zeros), ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), y1), y2), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), y1), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__zeros))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__zeros))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, y3))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, y3))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2))))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), y1), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), n__zeros), y1), zeros), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), 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ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3))) ---------------------------------------- (176) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), z1)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), z1)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), z1)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(y0, y1), n__zeros), zeros), ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(y1, n__zeros)), zeros), ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(TAKE(n__take(y0, n__take(y1, n__take(y2, y3))), zeros), ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(y1, y2)), zeros), ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(n__zeros, y1)), zeros), ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(TAKE(n__take(y0, n__take(n__take(y1, y2), y3)), zeros), ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(y0, y1), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(TAKE(n__take(n__zeros, n__take(y0, y1)), zeros), ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(TAKE(n__take(n__take(y0, y1), y2), zeros), ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__zeros), y1), zeros), ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), y3), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(TAKE(n__take(n__take(n__zeros, y0), y1), zeros), ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), y2), y3), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(TAKE(n__take(y0, n__zeros), zeros), ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(TAKE(n__take(y0, y1), zeros), ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(TAKE(n__take(n__zeros, y0), zeros), ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), n__zeros), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), zeros), ACTIVATE(n__take(n__take(y0, n__take(n__zeros, 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n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__zeros, y0), n__zeros), zeros), 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ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), zeros), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)))) 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zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), zeros), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), 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n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), y2), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__zeros)), y2), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4), zeros), ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), y2), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(n__zeros, y1)), y2), zeros), ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4), n__zeros)) -> c9(TAKE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4), zeros), ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4), zeros), ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__zeros, n__take(y0, y1)), y2), zeros), ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), y1), y2), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), y1), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__zeros))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__zeros))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, y3))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, y3))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), n__zeros)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), zeros), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2))))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), y1), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), n__zeros), y1), zeros), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), y3), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), y3), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), y2), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), y2), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), y1), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), y1), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), y4), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), y6), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), y6), zeros), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), y6))) 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n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), y3), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), 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y3)), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3), zeros), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), z1)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), z1)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), z1)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) K tuples: LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (177) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 194 trailing tuple parts ---------------------------------------- (178) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, x1)) -> c9(TAKE(z0, x1), ACTIVATE(z0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), z1)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), z1)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), z1)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__zeros))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2))))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), z1)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), z1)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), z1)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) K tuples: LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (179) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace ACTIVATE(n__take(x0, z0)) -> c9(TAKE(x0, z0), ACTIVATE(x0)) by ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, y1), n__zeros), z1), ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), z1)) -> c9(TAKE(n__take(y0, n__take(y1, n__zeros)), z1), ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), z1)) -> c9(TAKE(n__take(y0, n__take(y1, n__take(y2, y3))), z1), ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), z1)) -> c9(TAKE(n__take(y0, n__take(y1, y2)), z1), ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), z1)) -> c9(TAKE(n__take(y0, n__take(n__zeros, y1)), z1), ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), z1)) -> c9(TAKE(n__take(y0, n__take(n__take(y1, y2), y3)), z1), ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(y0, y1), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), z1)) -> c9(TAKE(n__take(n__zeros, n__take(y0, y1)), z1), ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), z1)) -> c9(TAKE(n__take(n__take(y0, y1), y2), z1), ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), z1)) -> c9(TAKE(n__take(n__take(y0, n__zeros), y1), z1), ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), y3), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), z1)) -> c9(TAKE(n__take(n__take(n__zeros, y0), y1), z1), ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), 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y5))))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, y3))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, y2))), ACTIVATE(s(y0))) ACTIVATE(n__take(n__take(y0, n__zeros), z1)) -> c9(TAKE(n__take(y0, n__zeros), z1), ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), 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ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), z1), ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), y2), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), 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ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), 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y3)))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, y3))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, y3))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2))))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), z1), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2), z1)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2), z1), ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), 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c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), y4), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), y4), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), y3), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), 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ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), y2), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), y2), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), 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ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), 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-> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), 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c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), n__zeros), z1), 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n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros))) ---------------------------------------- (180) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), z1)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), z1)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), z1)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__zeros))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2))))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, y1), n__zeros), z1), ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), z1)) -> c9(TAKE(n__take(y0, n__take(y1, n__zeros)), z1), ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), z1)) -> c9(TAKE(n__take(y0, n__take(y1, n__take(y2, y3))), z1), ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), z1)) -> c9(TAKE(n__take(y0, n__take(y1, y2)), z1), ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), z1)) -> c9(TAKE(n__take(y0, n__take(n__zeros, y1)), z1), ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), z1)) -> c9(TAKE(n__take(y0, n__take(n__take(y1, y2), y3)), z1), ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), z1)) -> c9(TAKE(n__take(n__take(y0, y1), n__take(y2, y3)), z1), ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), z1)) -> c9(TAKE(n__take(n__zeros, n__take(y0, y1)), z1), ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), z1)) -> c9(TAKE(n__take(n__take(y0, y1), y2), z1), ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), z1)) -> c9(TAKE(n__take(n__take(y0, n__zeros), y1), z1), ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), y3), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), z1)) -> c9(TAKE(n__take(n__take(n__zeros, y0), y1), z1), ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), y2), y3), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, y1), z1)) -> c9(TAKE(n__take(y0, y1), z1), ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__zeros, y0), z1)) -> c9(TAKE(n__take(n__zeros, y0), z1), ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__zeros))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__zeros))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, y3))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), ACTIVATE(s(y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, y2))), ACTIVATE(s(y0))) ACTIVATE(n__take(n__take(y0, n__zeros), z1)) -> c9(TAKE(n__take(y0, n__zeros), z1), ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__zeros), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1), ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(y0, y1), 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cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, y3))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(y2, y3))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), z1)) -> c9(TAKE(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), z1), ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2))))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), z1), ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4), z1)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4), z1), ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), 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ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, 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ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), y2), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), y2), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), y2), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), y2), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), y2), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), y2), n__zeros), z1), 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ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), n__zeros), z1)) -> c9(TAKE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), n__zeros), z1), ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), n__zeros), z1)) -> c9(TAKE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), n__zeros), z1), ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(y2, y3))), n__zeros), z1)) -> c9(TAKE(n__take(n__take(s(y0), cons(y1, n__take(y2, y3))), n__zeros), z1), ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), n__zeros), z1)) -> c9(TAKE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), n__zeros), z1), ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), n__zeros), z1)) -> c9(TAKE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), n__zeros), z1), ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), n__zeros), z1)) -> c9(TAKE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), n__zeros), z1), ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), n__zeros), z1)) -> c9(TAKE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), n__zeros), z1), ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), n__zeros), z1)) -> c9(TAKE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), n__zeros), z1), ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(y0, 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c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros), z1)) -> c9(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros), z1), ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), z1)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), z1)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), z1)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) K tuples: LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (181) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 374 trailing tuple parts ---------------------------------------- (182) Obligation: Complexity Dependency Tuples Problem Rules: activate(n__zeros) -> zeros activate(n__take(z0, z1)) -> take(activate(z0), activate(z1)) activate(z0) -> z0 zeros -> cons(0, n__zeros) zeros -> n__zeros take(0, z0) -> nil take(s(z0), cons(z1, z2)) -> cons(z1, n__take(z0, activate(z2))) take(z0, z1) -> n__take(z0, z1) Tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, n__zeros)) -> c9(ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), z1)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), z1)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), z1)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__zeros))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), n__zeros)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2))))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), y2), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), y2), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), y2), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), y2), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), y2), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), y2), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__zeros))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, y3))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))))) ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), z1)) -> c9(ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2))))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), y1), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), y2), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), y2), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), y2), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), y2), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), y2))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), y1), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), y6), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), y5), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), y6), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), y6), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), y5), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), y6), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), y6), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), y6), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), y5), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), y6), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), y6), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), y5), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), y6), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), y6), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(y2, n__zeros))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__zeros))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5))))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4)))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3)))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5)))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5)))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3)))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(y2, y3))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5))), n__zeros))) ACTIVATE(n__take(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(s(y0), cons(y1, n__take(n__zeros, y2))), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), y5), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), y5), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), y5), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), y5), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), y5), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), y5), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), y5), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), y5), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), y5), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), y4), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), y6), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), y3), n__zeros))) S tuples: LENGTH(cons(x0, n__take(x1, n__zeros))) -> c4(LENGTH(take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) LENGTH(cons(x0, n__take(x1, n__take(z0, z1)))) -> c4(LENGTH(take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) LENGTH(cons(x0, n__take(x1, z0))) -> c4(LENGTH(take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) LENGTH(cons(x0, n__take(n__zeros, x2))) -> c4(LENGTH(take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) LENGTH(cons(x0, n__take(n__take(z0, z1), x2))) -> c4(LENGTH(take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(cons(0, n__zeros))) ACTIVATE(n__take(n__take(z0, z1), n__zeros)) -> c9(TAKE(take(activate(z0), activate(z1)), zeros), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c9(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c9(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c9(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c9(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c9(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c9(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(x0)) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c9(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c9(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(z0)) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c9(TAKE(zeros, take(activate(x1), activate(x2)))) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c9(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(n__take(z0, z1))) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c9(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(n__take(x0, n__zeros))) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c9(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(n__take(x0, n__take(z0, z1)))) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c9(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(n__take(x0, z0))) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c9(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(n__take(n__zeros, x1))) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c9(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(n__take(n__take(z0, z1), x1))) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c9(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(n__take(z0, x1))) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c9(ACTIVATE(n__take(x0, x1))) ACTIVATE(n__take(x0, n__take(x1, n__zeros))) -> c10(TAKE(activate(x0), take(activate(x1), zeros)), ACTIVATE(n__take(x1, n__zeros))) ACTIVATE(n__take(x0, n__take(x1, n__take(z0, z1)))) -> c10(TAKE(activate(x0), take(activate(x1), take(activate(z0), activate(z1)))), ACTIVATE(n__take(x1, n__take(z0, z1)))) ACTIVATE(n__take(x0, n__take(x1, z0))) -> c10(TAKE(activate(x0), take(activate(x1), z0)), ACTIVATE(n__take(x1, z0))) ACTIVATE(n__take(x0, n__take(n__zeros, x2))) -> c10(TAKE(activate(x0), take(zeros, activate(x2))), ACTIVATE(n__take(n__zeros, x2))) ACTIVATE(n__take(x0, n__take(n__take(z0, z1), x2))) -> c10(TAKE(activate(x0), take(take(activate(z0), activate(z1)), activate(x2))), ACTIVATE(n__take(n__take(z0, z1), x2))) ACTIVATE(n__take(x0, n__take(z0, x2))) -> c10(TAKE(activate(x0), take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) ACTIVATE(n__take(n__zeros, n__take(x1, x2))) -> c10(TAKE(zeros, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__take(z0, z1), n__take(x1, x2))) -> c10(TAKE(take(activate(z0), activate(z1)), take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(z0, n__take(x1, x2))) -> c10(TAKE(z0, take(activate(x1), activate(x2))), ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(x0, n__take(x1, x2))) -> c10(ACTIVATE(n__take(x1, x2))) ACTIVATE(n__take(n__zeros, x1)) -> c10(TAKE(zeros, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__take(z0, z1), x1)) -> c10(TAKE(take(activate(z0), activate(z1)), x1), ACTIVATE(x1)) ACTIVATE(n__take(z0, x1)) -> c10(TAKE(z0, x1), ACTIVATE(x1)) ACTIVATE(n__take(n__zeros, x0)) -> c10(ACTIVATE(x0)) ACTIVATE(n__take(n__take(x0, n__zeros), x2)) -> c10(TAKE(take(activate(x0), zeros), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, n__take(z0, z1)), x2)) -> c10(TAKE(take(activate(x0), take(activate(z0), activate(z1))), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, z0), x2)) -> c10(TAKE(take(activate(x0), z0), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__zeros, x1), x2)) -> c10(TAKE(take(zeros, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(n__take(z0, z1), x1), x2)) -> c10(TAKE(take(take(activate(z0), activate(z1)), activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(z0, x1), x2)) -> c10(TAKE(take(z0, activate(x1)), activate(x2)), ACTIVATE(x2)) ACTIVATE(n__take(n__take(x0, x1), n__zeros)) -> c10(TAKE(take(activate(x0), activate(x1)), zeros)) ACTIVATE(n__take(n__take(x0, x1), x2)) -> c10(ACTIVATE(x2)) TAKE(s(z0), cons(z1, n__take(y0, n__zeros))) -> c6(ACTIVATE(n__take(y0, n__zeros))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__zeros))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__zeros))) -> c6(ACTIVATE(n__take(n__zeros, n__zeros))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__zeros)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c6(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) TAKE(s(z0), cons(z1, n__take(y0, n__take(y1, y2)))) -> c6(ACTIVATE(n__take(y0, n__take(y1, y2)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__zeros, y1)))) -> c6(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) TAKE(s(z0), cons(z1, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c6(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c6(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) TAKE(s(z0), cons(z1, n__take(n__zeros, n__take(y0, y1)))) -> c6(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) TAKE(s(z0), cons(z1, n__take(n__take(y0, y1), y2))) -> c6(ACTIVATE(n__take(n__take(y0, y1), y2))) TAKE(s(z0), cons(z1, n__take(y0, y1))) -> c6(ACTIVATE(n__take(y0, y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__zeros), y1))) -> c6(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) TAKE(s(z0), cons(z1, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c6(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) TAKE(s(z0), cons(z1, n__take(n__take(n__zeros, y0), y1))) -> c6(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) TAKE(s(z0), cons(z1, n__take(n__take(n__take(y0, y1), y2), y3))) -> c6(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) TAKE(s(z0), cons(z1, n__take(n__zeros, y0))) -> c6(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__zeros)) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(y0, y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, y1))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(z1, z2))) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(y1, y2)))) ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), z1)) -> c9(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), z1)) -> c9(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) ACTIVATE(n__take(n__take(n__take(y0, y1), y2), z1)) -> c9(ACTIVATE(n__take(n__take(y0, y1), y2))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) ACTIVATE(n__take(n__take(y0, n__zeros), z1)) -> c9(ACTIVATE(n__take(y0, n__zeros))) ACTIVATE(n__take(n__take(n__zeros, y0), z1)) -> c9(ACTIVATE(n__take(n__zeros, y0))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__zeros)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, n__take(y4, y5)))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(y3, y4))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__zeros, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, n__take(n__take(y3, y4), y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), n__take(y4, y5))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, n__take(y2, y3))))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, y3), y4)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(y2, y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(y2, y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__zeros), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(y2, n__take(y3, y4)), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__zeros, y2), y3)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__take(n__take(y2, y3), y4), y5)))) ACTIVATE(n__take(s(y0), cons(y1, n__take(n__zeros, y2)))) -> c9(TAKE(s(y0), cons(y1, n__take(n__zeros, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__zeros)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, n__take(y0, y1)), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(y0, n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__zeros, y0), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__zeros), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__zeros), n__take(y1, y2)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__zeros), n__take(y3, y4)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__zeros), n__take(y2, y3)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__zeros), n__take(y4, y5)))) ACTIVATE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)), z1)) -> c9(ACTIVATE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__zeros), n__take(y1, y2)))) K tuples: LENGTH(cons(x0, n__take(x1, x2))) -> c4(ACTIVATE(n__take(x1, x2))) LENGTH(cons(x0, n__take(z0, x2))) -> c4(LENGTH(take(z0, activate(x2))), ACTIVATE(n__take(z0, x2))) LENGTH(cons(z0, cons(y0, y1))) -> c4(LENGTH(cons(y0, y1))) LENGTH(cons(z0, cons(y0, n__take(y1, n__zeros)))) -> c4(LENGTH(cons(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, cons(y0, n__take(y1, n__take(y2, y3))))) -> c4(LENGTH(cons(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, cons(y0, n__take(y1, y2)))) -> c4(LENGTH(cons(y0, n__take(y1, y2)))) LENGTH(cons(z0, cons(y0, n__take(n__zeros, y1)))) -> c4(LENGTH(cons(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, cons(y0, n__take(n__take(y1, y2), y3)))) -> c4(LENGTH(cons(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, cons(y0, n__zeros))) -> c4(LENGTH(cons(y0, n__zeros))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__zeros))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__zeros))) LENGTH(cons(z0, n__take(y0, n__zeros))) -> c4(ACTIVATE(n__take(y0, n__zeros))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__zeros)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__zeros)))) LENGTH(cons(z0, n__take(y0, n__take(y1, n__take(y2, y3))))) -> c4(ACTIVATE(n__take(y0, n__take(y1, n__take(y2, y3))))) LENGTH(cons(z0, n__take(y0, n__take(y1, y2)))) -> c4(ACTIVATE(n__take(y0, n__take(y1, y2)))) LENGTH(cons(z0, n__take(y0, n__take(n__zeros, y1)))) -> c4(ACTIVATE(n__take(y0, n__take(n__zeros, y1)))) LENGTH(cons(z0, n__take(y0, n__take(n__take(y1, y2), y3)))) -> c4(ACTIVATE(n__take(y0, n__take(n__take(y1, y2), y3)))) LENGTH(cons(z0, n__take(n__take(y0, y1), n__take(y2, y3)))) -> c4(ACTIVATE(n__take(n__take(y0, y1), n__take(y2, y3)))) LENGTH(cons(z0, n__take(n__zeros, n__take(y0, y1)))) -> c4(ACTIVATE(n__take(n__zeros, n__take(y0, y1)))) LENGTH(cons(z0, n__take(n__take(y0, y1), y2))) -> c4(ACTIVATE(n__take(n__take(y0, y1), y2))) LENGTH(cons(z0, n__take(n__take(y0, n__zeros), y1))) -> c4(ACTIVATE(n__take(n__take(y0, n__zeros), y1))) LENGTH(cons(z0, n__take(n__take(y0, n__take(y1, y2)), y3))) -> c4(ACTIVATE(n__take(n__take(y0, n__take(y1, y2)), y3))) LENGTH(cons(z0, n__take(n__take(n__zeros, y0), y1))) -> c4(ACTIVATE(n__take(n__take(n__zeros, y0), y1))) LENGTH(cons(z0, n__take(n__take(n__take(y0, y1), y2), y3))) -> c4(ACTIVATE(n__take(n__take(n__take(y0, y1), y2), y3))) LENGTH(cons(z0, n__take(n__zeros, y0))) -> c4(ACTIVATE(n__take(n__zeros, y0))) Defined Rule Symbols: activate_1, zeros, take_2 Defined Pair Symbols: LENGTH_1, ACTIVATE_1, TAKE_2 Compound Symbols: c4_2, c4_1, c9_2, c9_1, c10_2, c10_1, c6_1 ---------------------------------------- (183) RelTrsToWeightedTrsProof (UPPER BOUND(ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (184) 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: zeros -> cons(0, n__zeros) [1] and(tt, X) -> activate(X) [1] length(nil) -> 0 [1] length(cons(N, L)) -> s(length(activate(L))) [1] take(0, IL) -> nil [1] take(s(M), cons(N, IL)) -> cons(N, n__take(M, activate(IL))) [1] zeros -> n__zeros [1] take(X1, X2) -> n__take(X1, X2) [1] activate(n__zeros) -> zeros [1] activate(n__take(X1, X2)) -> take(activate(X1), activate(X2)) [1] activate(X) -> X [1] Rewrite Strategy: INNERMOST ---------------------------------------- (185) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (186) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: zeros -> cons(0, n__zeros) [1] and(tt, X) -> activate(X) [1] length(nil) -> 0 [1] length(cons(N, L)) -> s(length(activate(L))) [1] take(0, IL) -> nil [1] take(s(M), cons(N, IL)) -> cons(N, n__take(M, activate(IL))) [1] zeros -> n__zeros [1] take(X1, X2) -> n__take(X1, X2) [1] activate(n__zeros) -> zeros [1] activate(n__take(X1, X2)) -> take(activate(X1), activate(X2)) [1] activate(X) -> X [1] The TRS has the following type information: zeros :: 0:n__zeros:cons:nil:s:n__take cons :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take 0 :: 0:n__zeros:cons:nil:s:n__take n__zeros :: 0:n__zeros:cons:nil:s:n__take and :: tt -> 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take tt :: tt activate :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take length :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take nil :: 0:n__zeros:cons:nil:s:n__take s :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take take :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take n__take :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take Rewrite Strategy: INNERMOST ---------------------------------------- (187) 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: and_2 length_1 (c) The following functions are completely defined: activate_1 take_2 zeros Due to the following rules being added: none And the following fresh constants: none ---------------------------------------- (188) 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: zeros -> cons(0, n__zeros) [1] and(tt, X) -> activate(X) [1] length(nil) -> 0 [1] length(cons(N, L)) -> s(length(activate(L))) [1] take(0, IL) -> nil [1] take(s(M), cons(N, IL)) -> cons(N, n__take(M, activate(IL))) [1] zeros -> n__zeros [1] take(X1, X2) -> n__take(X1, X2) [1] activate(n__zeros) -> zeros [1] activate(n__take(X1, X2)) -> take(activate(X1), activate(X2)) [1] activate(X) -> X [1] The TRS has the following type information: zeros :: 0:n__zeros:cons:nil:s:n__take cons :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take 0 :: 0:n__zeros:cons:nil:s:n__take n__zeros :: 0:n__zeros:cons:nil:s:n__take and :: tt -> 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take tt :: tt activate :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take length :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take nil :: 0:n__zeros:cons:nil:s:n__take s :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take take :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take n__take :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take Rewrite Strategy: INNERMOST ---------------------------------------- (189) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (190) 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: zeros -> cons(0, n__zeros) [1] and(tt, X) -> activate(X) [1] length(nil) -> 0 [1] length(cons(N, n__zeros)) -> s(length(zeros)) [2] length(cons(N, n__take(X1', X2'))) -> s(length(take(activate(X1'), activate(X2')))) [2] length(cons(N, L)) -> s(length(L)) [2] take(0, IL) -> nil [1] take(s(M), cons(N, IL)) -> cons(N, n__take(M, activate(IL))) [1] zeros -> n__zeros [1] take(X1, X2) -> n__take(X1, X2) [1] activate(n__zeros) -> zeros [1] activate(n__take(n__zeros, n__zeros)) -> take(zeros, zeros) [3] activate(n__take(n__zeros, n__take(X11, X21))) -> take(zeros, take(activate(X11), activate(X21))) [3] activate(n__take(n__zeros, X2)) -> take(zeros, X2) [3] activate(n__take(n__take(X1'', X2''), n__zeros)) -> take(take(activate(X1''), activate(X2'')), zeros) [3] activate(n__take(n__take(X1'', X2''), n__take(X12, X22))) -> take(take(activate(X1''), activate(X2'')), take(activate(X12), activate(X22))) [3] activate(n__take(n__take(X1'', X2''), X2)) -> take(take(activate(X1''), activate(X2'')), X2) [3] activate(n__take(X1, n__zeros)) -> take(X1, zeros) [3] activate(n__take(X1, n__take(X13, X23))) -> take(X1, take(activate(X13), activate(X23))) [3] activate(n__take(X1, X2)) -> take(X1, X2) [3] activate(X) -> X [1] The TRS has the following type information: zeros :: 0:n__zeros:cons:nil:s:n__take cons :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take 0 :: 0:n__zeros:cons:nil:s:n__take n__zeros :: 0:n__zeros:cons:nil:s:n__take and :: tt -> 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take tt :: tt activate :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take length :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take nil :: 0:n__zeros:cons:nil:s:n__take s :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take take :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take n__take :: 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take -> 0:n__zeros:cons:nil:s:n__take Rewrite Strategy: INNERMOST ---------------------------------------- (191) 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 n__zeros => 1 tt => 0 nil => 2 ---------------------------------------- (192) Obligation: Complexity RNTS consisting of the following rules: activate(z) -{ 1 }-> X :|: X >= 0, z = X activate(z) -{ 1 }-> zeros :|: z = 1 activate(z) -{ 3 }-> take(X1, X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 activate(z) -{ 3 }-> take(X1, zeros) :|: X1 >= 0, z = 1 + X1 + 1 activate(z) -{ 3 }-> take(X1, take(activate(X13), activate(X23))) :|: X1 >= 0, z = 1 + X1 + (1 + X13 + X23), X13 >= 0, X23 >= 0 activate(z) -{ 3 }-> take(zeros, X2) :|: z = 1 + 1 + X2, X2 >= 0 activate(z) -{ 3 }-> take(zeros, zeros) :|: z = 1 + 1 + 1 activate(z) -{ 3 }-> take(zeros, take(activate(X11), activate(X21))) :|: X11 >= 0, X21 >= 0, z = 1 + 1 + (1 + X11 + X21) activate(z) -{ 3 }-> take(take(activate(X1''), activate(X2'')), X2) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'') + X2, X2'' >= 0, X2 >= 0 activate(z) -{ 3 }-> take(take(activate(X1''), activate(X2'')), zeros) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'') + 1, X2'' >= 0 activate(z) -{ 3 }-> take(take(activate(X1''), activate(X2'')), take(activate(X12), activate(X22))) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'') + (1 + X12 + X22), X12 >= 0, X22 >= 0, X2'' >= 0 and(z, z') -{ 1 }-> activate(X) :|: z' = X, X >= 0, z = 0 length(z) -{ 1 }-> 0 :|: z = 2 length(z) -{ 2 }-> 1 + length(L) :|: z = 1 + N + L, L >= 0, N >= 0 length(z) -{ 2 }-> 1 + length(zeros) :|: z = 1 + N + 1, N >= 0 length(z) -{ 2 }-> 1 + length(take(activate(X1'), activate(X2'))) :|: X2' >= 0, z = 1 + N + (1 + X1' + X2'), X1' >= 0, N >= 0 take(z, z') -{ 1 }-> 2 :|: z' = IL, z = 0, IL >= 0 take(z, z') -{ 1 }-> 1 + N + (1 + M + activate(IL)) :|: z = 1 + M, M >= 0, IL >= 0, z' = 1 + N + IL, N >= 0 take(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 zeros -{ 1 }-> 1 :|: zeros -{ 1 }-> 1 + 0 + 1 :|: ---------------------------------------- (193) InliningProof (UPPER BOUND(ID)) Inlined the following terminating rules on right-hand sides where appropriate: zeros -{ 1 }-> 1 :|: zeros -{ 1 }-> 1 + 0 + 1 :|: ---------------------------------------- (194) Obligation: Complexity RNTS consisting of the following rules: activate(z) -{ 1 }-> X :|: X >= 0, z = X activate(z) -{ 3 }-> take(X1, X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 activate(z) -{ 3 }-> take(X1, take(activate(X13), activate(X23))) :|: X1 >= 0, z = 1 + X1 + (1 + X13 + X23), X13 >= 0, X23 >= 0 activate(z) -{ 4 }-> take(X1, 1) :|: X1 >= 0, z = 1 + X1 + 1 activate(z) -{ 4 }-> take(X1, 1 + 0 + 1) :|: X1 >= 0, z = 1 + X1 + 1 activate(z) -{ 3 }-> take(take(activate(X1''), activate(X2'')), X2) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'') + X2, X2'' >= 0, X2 >= 0 activate(z) -{ 3 }-> take(take(activate(X1''), activate(X2'')), take(activate(X12), activate(X22))) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'') + (1 + X12 + X22), X12 >= 0, X22 >= 0, X2'' >= 0 activate(z) -{ 4 }-> take(take(activate(X1''), activate(X2'')), 1) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'') + 1, X2'' >= 0 activate(z) -{ 4 }-> take(take(activate(X1''), activate(X2'')), 1 + 0 + 1) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'') + 1, X2'' >= 0 activate(z) -{ 4 }-> take(1, X2) :|: z = 1 + 1 + X2, X2 >= 0 activate(z) -{ 4 }-> take(1, take(activate(X11), activate(X21))) :|: X11 >= 0, X21 >= 0, z = 1 + 1 + (1 + X11 + X21) activate(z) -{ 5 }-> take(1, 1) :|: z = 1 + 1 + 1 activate(z) -{ 5 }-> take(1, 1 + 0 + 1) :|: z = 1 + 1 + 1 activate(z) -{ 4 }-> take(1 + 0 + 1, X2) :|: z = 1 + 1 + X2, X2 >= 0 activate(z) -{ 4 }-> take(1 + 0 + 1, take(activate(X11), activate(X21))) :|: X11 >= 0, X21 >= 0, z = 1 + 1 + (1 + X11 + X21) activate(z) -{ 5 }-> take(1 + 0 + 1, 1) :|: z = 1 + 1 + 1 activate(z) -{ 5 }-> take(1 + 0 + 1, 1 + 0 + 1) :|: z = 1 + 1 + 1 activate(z) -{ 2 }-> 1 :|: z = 1 activate(z) -{ 2 }-> 1 + 0 + 1 :|: z = 1 and(z, z') -{ 1 }-> activate(X) :|: z' = X, X >= 0, z = 0 length(z) -{ 1 }-> 0 :|: z = 2 length(z) -{ 2 }-> 1 + length(L) :|: z = 1 + N + L, L >= 0, N >= 0 length(z) -{ 2 }-> 1 + length(take(activate(X1'), activate(X2'))) :|: X2' >= 0, z = 1 + N + (1 + X1' + X2'), X1' >= 0, N >= 0 length(z) -{ 3 }-> 1 + length(1) :|: z = 1 + N + 1, N >= 0 length(z) -{ 3 }-> 1 + length(1 + 0 + 1) :|: z = 1 + N + 1, N >= 0 take(z, z') -{ 1 }-> 2 :|: z' = IL, z = 0, IL >= 0 take(z, z') -{ 1 }-> 1 + N + (1 + M + activate(IL)) :|: z = 1 + M, M >= 0, IL >= 0, z' = 1 + N + IL, N >= 0 take(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 zeros -{ 1 }-> 1 :|: zeros -{ 1 }-> 1 + 0 + 1 :|: ---------------------------------------- (195) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (196) Obligation: Complexity RNTS consisting of the following rules: activate(z) -{ 1 }-> z :|: z >= 0 activate(z) -{ 3 }-> take(X1, X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 activate(z) -{ 3 }-> take(X1, take(activate(X13), activate(X23))) :|: X1 >= 0, z = 1 + X1 + (1 + X13 + X23), X13 >= 0, X23 >= 0 activate(z) -{ 3 }-> take(take(activate(X1''), activate(X2'')), X2) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'') + X2, X2'' >= 0, X2 >= 0 activate(z) -{ 3 }-> take(take(activate(X1''), activate(X2'')), take(activate(X12), activate(X22))) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'') + (1 + X12 + X22), X12 >= 0, X22 >= 0, X2'' >= 0 activate(z) -{ 4 }-> take(take(activate(X1''), activate(X2'')), 1) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'') + 1, X2'' >= 0 activate(z) -{ 4 }-> take(take(activate(X1''), activate(X2'')), 1 + 0 + 1) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'') + 1, X2'' >= 0 activate(z) -{ 4 }-> take(1, take(activate(X11), activate(X21))) :|: X11 >= 0, X21 >= 0, z = 1 + 1 + (1 + X11 + X21) activate(z) -{ 5 }-> take(1, 1) :|: z = 1 + 1 + 1 activate(z) -{ 4 }-> take(1, z - 2) :|: z - 2 >= 0 activate(z) -{ 5 }-> take(1, 1 + 0 + 1) :|: z = 1 + 1 + 1 activate(z) -{ 4 }-> take(z - 2, 1) :|: z - 2 >= 0 activate(z) -{ 4 }-> take(z - 2, 1 + 0 + 1) :|: z - 2 >= 0 activate(z) -{ 4 }-> take(1 + 0 + 1, take(activate(X11), activate(X21))) :|: X11 >= 0, X21 >= 0, z = 1 + 1 + (1 + X11 + X21) activate(z) -{ 5 }-> take(1 + 0 + 1, 1) :|: z = 1 + 1 + 1 activate(z) -{ 4 }-> take(1 + 0 + 1, z - 2) :|: z - 2 >= 0 activate(z) -{ 5 }-> take(1 + 0 + 1, 1 + 0 + 1) :|: z = 1 + 1 + 1 activate(z) -{ 2 }-> 1 :|: z = 1 activate(z) -{ 2 }-> 1 + 0 + 1 :|: z = 1 and(z, z') -{ 1 }-> activate(z') :|: z' >= 0, z = 0 length(z) -{ 1 }-> 0 :|: z = 2 length(z) -{ 2 }-> 1 + length(L) :|: z = 1 + N + L, L >= 0, N >= 0 length(z) -{ 2 }-> 1 + length(take(activate(X1'), activate(X2'))) :|: X2' >= 0, z = 1 + N + (1 + X1' + X2'), X1' >= 0, N >= 0 length(z) -{ 3 }-> 1 + length(1) :|: z - 2 >= 0 length(z) -{ 3 }-> 1 + length(1 + 0 + 1) :|: z - 2 >= 0 take(z, z') -{ 1 }-> 2 :|: z = 0, z' >= 0 take(z, z') -{ 1 }-> 1 + N + (1 + (z - 1) + activate(IL)) :|: z - 1 >= 0, IL >= 0, z' = 1 + N + IL, N >= 0 take(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 zeros -{ 1 }-> 1 :|: zeros -{ 1 }-> 1 + 0 + 1 :|: ---------------------------------------- (197) 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: length(v0) -> null_length [0] And the following fresh constants: null_length ---------------------------------------- (198) 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: zeros -> cons(0, n__zeros) [1] and(tt, X) -> activate(X) [1] length(nil) -> 0 [1] length(cons(N, L)) -> s(length(activate(L))) [1] take(0, IL) -> nil [1] take(s(M), cons(N, IL)) -> cons(N, n__take(M, activate(IL))) [1] zeros -> n__zeros [1] take(X1, X2) -> n__take(X1, X2) [1] activate(n__zeros) -> zeros [1] activate(n__take(X1, X2)) -> take(activate(X1), activate(X2)) [1] activate(X) -> X [1] length(v0) -> null_length [0] The TRS has the following type information: zeros :: 0:n__zeros:cons:nil:s:n__take:null_length cons :: 0:n__zeros:cons:nil:s:n__take:null_length -> 0:n__zeros:cons:nil:s:n__take:null_length -> 0:n__zeros:cons:nil:s:n__take:null_length 0 :: 0:n__zeros:cons:nil:s:n__take:null_length n__zeros :: 0:n__zeros:cons:nil:s:n__take:null_length and :: tt -> 0:n__zeros:cons:nil:s:n__take:null_length -> 0:n__zeros:cons:nil:s:n__take:null_length tt :: tt activate :: 0:n__zeros:cons:nil:s:n__take:null_length -> 0:n__zeros:cons:nil:s:n__take:null_length length :: 0:n__zeros:cons:nil:s:n__take:null_length -> 0:n__zeros:cons:nil:s:n__take:null_length nil :: 0:n__zeros:cons:nil:s:n__take:null_length s :: 0:n__zeros:cons:nil:s:n__take:null_length -> 0:n__zeros:cons:nil:s:n__take:null_length take :: 0:n__zeros:cons:nil:s:n__take:null_length -> 0:n__zeros:cons:nil:s:n__take:null_length -> 0:n__zeros:cons:nil:s:n__take:null_length n__take :: 0:n__zeros:cons:nil:s:n__take:null_length -> 0:n__zeros:cons:nil:s:n__take:null_length -> 0:n__zeros:cons:nil:s:n__take:null_length null_length :: 0:n__zeros:cons:nil:s:n__take:null_length Rewrite Strategy: INNERMOST ---------------------------------------- (199) 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 n__zeros => 1 tt => 0 nil => 2 null_length => 0 ---------------------------------------- (200) Obligation: Complexity RNTS consisting of the following rules: activate(z) -{ 1 }-> X :|: X >= 0, z = X activate(z) -{ 1 }-> zeros :|: z = 1 activate(z) -{ 1 }-> take(activate(X1), activate(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 and(z, z') -{ 1 }-> activate(X) :|: z' = X, X >= 0, z = 0 length(z) -{ 1 }-> 0 :|: z = 2 length(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 length(z) -{ 1 }-> 1 + length(activate(L)) :|: z = 1 + N + L, L >= 0, N >= 0 take(z, z') -{ 1 }-> 2 :|: z' = IL, z = 0, IL >= 0 take(z, z') -{ 1 }-> 1 + N + (1 + M + activate(IL)) :|: z = 1 + M, M >= 0, IL >= 0, z' = 1 + N + IL, N >= 0 take(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 zeros -{ 1 }-> 1 :|: zeros -{ 1 }-> 1 + 0 + 1 :|: Only complete derivations are relevant for the runtime complexity.