KILLED proof of input_VKcHv6kZLE.trs # AProVE Commit ID: aff8ecad908e01718a4c36e68d2e55d5e0f16e15 fuhs 20220216 unpublished The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).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) RelTrsToWeightedTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxWeightedTrs (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxTypedWeightedTrs (9) CompletionProof [UPPER BOUND(ID), 0 ms] (10) CpxTypedWeightedCompleteTrs (11) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (12) CpxTypedWeightedCompleteTrs (13) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 13 ms] (14) CpxRNTS (15) InliningProof [UPPER BOUND(ID), 461 ms] (16) CpxRNTS (17) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (18) CpxRNTS (19) CompletionProof [UPPER BOUND(ID), 0 ms] (20) CpxTypedWeightedCompleteTrs (21) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 3 ms] (22) CpxRNTS (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) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (30) CdtProblem (31) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (32) CdtProblem (33) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 28 ms] (34) CdtProblem (35) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (38) CdtProblem (39) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7 ms] (40) CdtProblem (41) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CdtProblem (43) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (44) CdtProblem (45) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (46) CdtProblem (47) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 55 ms] (48) CdtProblem (49) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 52 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (52) CdtProblem (53) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (56) CdtProblem (57) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (58) CdtProblem (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (60) CdtProblem (61) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (62) CdtProblem (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3 ms] (64) CdtProblem (65) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (66) CdtProblem (67) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (68) CdtProblem (69) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (70) CdtProblem (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 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) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (84) CdtProblem (85) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (86) CdtProblem (87) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 25 ms] (88) CdtProblem (89) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (90) CdtProblem (91) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (92) CdtProblem (93) CdtRhsSimplificationProcessorProof [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), 394 ms] (100) CdtProblem (101) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (102) CdtProblem (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 691 ms] (104) CdtProblem (105) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (106) CdtProblem (107) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 9 ms] (108) CdtProblem (109) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (110) CdtProblem (111) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (112) CdtProblem (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 140 ms] (114) CdtProblem (115) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (116) CdtProblem (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 749 ms] (118) CdtProblem (119) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (120) CdtProblem (121) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1083 ms] (122) CdtProblem (123) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (124) CdtProblem (125) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1376 ms] (126) CdtProblem (127) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (128) CdtProblem (129) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1337 ms] (130) CdtProblem (131) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (132) CdtProblem (133) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1366 ms] (134) CdtProblem (135) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (136) CdtProblem (137) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 9 ms] (138) CdtProblem (139) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (140) CdtProblem (141) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 24 ms] (142) CdtProblem (143) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 21 ms] (144) CdtProblem (145) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 55 ms] (146) CdtProblem (147) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 123 ms] (148) CdtProblem (149) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 815 ms] (150) CdtProblem (151) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 534 ms] (152) CdtProblem (153) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 2363 ms] (154) CdtProblem (155) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 1362 ms] (156) CdtProblem (157) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 9488 ms] (158) CdtProblem (159) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 5531 ms] (160) CdtProblem ---------------------------------------- (0) Obligation: The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 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) RelTrsToWeightedTrsProof (UPPER BOUND(ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (6) 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 ---------------------------------------- (7) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (8) 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 ---------------------------------------- (9) 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 ---------------------------------------- (10) 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 ---------------------------------------- (11) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (12) 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 ---------------------------------------- (13) 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 ---------------------------------------- (14) 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 :|: ---------------------------------------- (15) InliningProof (UPPER BOUND(ID)) Inlined the following terminating rules on right-hand sides where appropriate: zeros -{ 1 }-> 1 :|: zeros -{ 1 }-> 1 + 0 + 1 :|: ---------------------------------------- (16) 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 :|: ---------------------------------------- (17) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (18) 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 :|: ---------------------------------------- (19) 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 ---------------------------------------- (20) 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 ---------------------------------------- (21) 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 ---------------------------------------- (22) 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. ---------------------------------------- (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: TAKE(0, z0) -> c5 LENGTH(nil) -> c3 ZEROS -> c1 ACTIVATE(n__zeros) -> c8(ZEROS) ACTIVATE(z0) -> c11 ZEROS -> c TAKE(z0, z1) -> c7 ---------------------------------------- (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) 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)) ---------------------------------------- (30) 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 ---------------------------------------- (31) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (32) 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 ---------------------------------------- (33) 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) = [3] 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)) = x_1 POL(take(x_1, x_2)) = [1] POL(zeros) = [1] ---------------------------------------- (34) 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 ---------------------------------------- (35) 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)) ---------------------------------------- (36) 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 ---------------------------------------- (37) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (38) 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 ---------------------------------------- (39) 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)) ---------------------------------------- (40) 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 ---------------------------------------- (41) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (42) 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 ---------------------------------------- (43) 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))) ---------------------------------------- (44) 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 ---------------------------------------- (45) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (46) 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 ---------------------------------------- (47) 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 ---------------------------------------- (48) 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 ---------------------------------------- (49) 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] ---------------------------------------- (50) 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 ---------------------------------------- (51) 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)) ---------------------------------------- (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)) 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 ---------------------------------------- (53) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: LENGTH(cons(x0, n__zeros)) -> c4(LENGTH(n__zeros)) ---------------------------------------- (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)) 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 ---------------------------------------- (55) 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)) ---------------------------------------- (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)) 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 ---------------------------------------- (57) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (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)) 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 ---------------------------------------- (59) 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)) ---------------------------------------- (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)) 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 ---------------------------------------- (61) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (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, 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 ---------------------------------------- (63) 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)) ---------------------------------------- (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, 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 ---------------------------------------- (65) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (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)) 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 ---------------------------------------- (67) 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))) ---------------------------------------- (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)) 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 ---------------------------------------- (69) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (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)) 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 ---------------------------------------- (71) 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)) ---------------------------------------- (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)) 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 ---------------------------------------- (73) 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))) ---------------------------------------- (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__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 ---------------------------------------- (75) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(n__zeros, activate(x0))) ACTIVATE(n__take(n__zeros, x0)) -> c9(TAKE(cons(0, n__zeros), activate(x0))) ---------------------------------------- (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__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 ---------------------------------------- (77) 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))) ---------------------------------------- (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, 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 ---------------------------------------- (79) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 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, 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 ---------------------------------------- (81) 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)) ---------------------------------------- (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(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 ---------------------------------------- (83) 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)) ---------------------------------------- (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(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 ---------------------------------------- (85) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (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)) -> 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 ---------------------------------------- (87) 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)) ---------------------------------------- (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(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 ---------------------------------------- (89) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (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)) -> 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 ---------------------------------------- (91) 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)) ---------------------------------------- (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(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 ---------------------------------------- (93) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (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(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 ---------------------------------------- (95) 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)) ---------------------------------------- (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)) 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 ---------------------------------------- (97) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), n__zeros)) ---------------------------------------- (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)) 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 ---------------------------------------- (99) 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)) ---------------------------------------- (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)) 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 ---------------------------------------- (101) 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)) ---------------------------------------- (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)) 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 ---------------------------------------- (103) 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)) ---------------------------------------- (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)) 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 ---------------------------------------- (105) 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)) ---------------------------------------- (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)) 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 ---------------------------------------- (107) 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))) ---------------------------------------- (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: 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 ---------------------------------------- (109) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(activate(x0), cons(0, n__zeros))) ---------------------------------------- (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: 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 ---------------------------------------- (111) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 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: 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 ---------------------------------------- (113) 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)) ---------------------------------------- (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: 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 ---------------------------------------- (115) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing nodes: ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(cons(0, n__zeros), zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, n__zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(n__zeros, zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c9(TAKE(zeros, cons(0, n__zeros))) ---------------------------------------- (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: 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 ---------------------------------------- (117) 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)) ---------------------------------------- (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: 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 ---------------------------------------- (119) 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, 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)) ---------------------------------------- (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: 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 ---------------------------------------- (121) 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)) ---------------------------------------- (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: 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 ---------------------------------------- (123) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing nodes: ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(n__zeros, 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(zeros, n__zeros)) ---------------------------------------- (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: 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 ---------------------------------------- (125) 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)) ---------------------------------------- (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: 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 ---------------------------------------- (127) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, n__zeros)) ---------------------------------------- (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: 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 ---------------------------------------- (129) 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)) ---------------------------------------- (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(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 ---------------------------------------- (131) 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(zeros, cons(0, n__zeros))) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(n__zeros, zeros)) ACTIVATE(n__take(n__zeros, n__zeros)) -> c10(TAKE(cons(0, n__zeros), 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(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 ---------------------------------------- (133) 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)) ---------------------------------------- (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(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 ---------------------------------------- (135) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, cons(0, n__zeros))) ACTIVATE(n__take(x0, n__zeros)) -> c10(TAKE(x0, n__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(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 ---------------------------------------- (137) 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))) ---------------------------------------- (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, 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 ---------------------------------------- (139) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 23 trailing tuple parts ---------------------------------------- (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, 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 ---------------------------------------- (141) 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))) ---------------------------------------- (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, 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 ---------------------------------------- (143) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 16 trailing tuple parts ---------------------------------------- (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, 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 ---------------------------------------- (145) 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))) ---------------------------------------- (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, 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 ---------------------------------------- (147) 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))) ---------------------------------------- (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, 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 ---------------------------------------- (149) 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, 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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)))) ---------------------------------------- (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, 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, 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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__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)))) 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, 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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), 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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), 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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, 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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 ---------------------------------------- (151) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 108 trailing tuple parts ---------------------------------------- (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, 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 ---------------------------------------- (153) 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)) -> 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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))) 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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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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))) ACTIVATE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), y5), n__zeros)) -> c9(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), n__take(y3, y4)), y5), zeros), 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(TAKE(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__take(y2, y3)), y4), zeros), 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(TAKE(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__take(y4, y5)), y6), zeros), 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(TAKE(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__take(y4, y5)), y6), zeros), 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(TAKE(n__take(n__take(n__take(n__zeros, 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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(TAKE(n__take(n__take(n__take(n__take(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(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(TAKE(n__take(n__take(n__take(n__take(y0, n__zeros), n__zeros), n__take(y1, y2)), y3), zeros), 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(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__zeros)), n__zeros), n__take(y2, y3)), y4), zeros), 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(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), n__zeros), n__take(y4, y5)), y6), zeros), 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(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), n__zeros), n__take(y3, y4)), y5), zeros), 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(TAKE(n__take(n__take(n__take(n__take(y0, n__take(n__zeros, y1)), n__zeros), n__take(y2, y3)), y4), zeros), 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(TAKE(n__take(n__take(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), n__zeros), n__take(y4, y5)), y6), zeros), 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(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), n__zeros), n__take(y4, y5)), y6), zeros), 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(TAKE(n__take(n__take(n__take(n__take(n__zeros, n__take(y0, y1)), n__zeros), n__take(y2, y3)), y4), zeros), 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(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), n__zeros), n__take(y3, y4)), y5), zeros), 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(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__zeros), y1), n__zeros), n__take(y2, y3)), y4), zeros), 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(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), y6), zeros), 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(TAKE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), y4), zeros), 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(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), y6), zeros), 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(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), y3), zeros), 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(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), zeros), 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(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)), 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))) ---------------------------------------- (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, 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, 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), 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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, 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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), 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), 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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, 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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(TAKE(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__take(y4, y5)), y6), zeros), 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(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__take(y2, y3)), y4), zeros), 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(TAKE(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__take(y4, y5)), y6), zeros), 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), 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n__zeros), y1), n__zeros), n__take(y2, y3)), y4), zeros), 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(TAKE(n__take(n__take(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), n__zeros), n__take(y4, y5)), y6), zeros), 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(TAKE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), y1), n__zeros), n__take(y2, y3)), y4), zeros), 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(TAKE(n__take(n__take(n__take(n__take(n__take(n__take(y0, y1), y2), y3), n__zeros), n__take(y4, y5)), y6), zeros), 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(TAKE(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), y3), zeros), 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(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), zeros), 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(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)), 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))) 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 ---------------------------------------- (155) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 194 trailing tuple parts ---------------------------------------- (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, 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 ---------------------------------------- (157) 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), 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), 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), 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y3))), y4), z1)) -> c9(TAKE(n__take(n__take(y0, n__take(y1, n__take(y2, y3))), y4), z1), 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(TAKE(n__take(n__take(y0, n__take(n__zeros, y1)), y2), z1), 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(TAKE(n__take(n__take(y0, n__take(n__take(y1, y2), y3)), y4), z1), 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(TAKE(n__take(n__take(n__take(y0, y1), n__take(y2, y3)), y4), z1), 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(TAKE(n__take(n__take(n__zeros, n__take(y0, y1)), y2), z1), 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(TAKE(n__take(n__take(n__take(y0, n__zeros), y1), y2), z1), 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(TAKE(n__take(n__take(n__take(y0, n__take(y1, y2)), y3), y4), z1), 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(TAKE(n__take(n__take(n__take(n__zeros, y0), y1), y2), z1), 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(TAKE(n__take(n__take(n__take(n__take(y0, y1), y2), y3), y4), z1), 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(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__zeros))), z1), 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(TAKE(n__take(s(y0), cons(y1, n__take(n__take(y2, y3), n__zeros))), z1), 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(TAKE(n__take(s(y0), cons(y1, n__take(n__zeros, n__zeros))), z1), 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(TAKE(n__take(s(y0), cons(y1, n__take(y2, n__take(y3, n__zeros)))), z1), 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(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))), 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(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(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(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), 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(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), 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(TAKE(n__take(n__take(n__take(n__take(n__take(n__zeros, y0), n__zeros), n__take(y1, y2)), y3), n__zeros), z1), 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(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), 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(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), 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(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), 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(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))) ---------------------------------------- (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, 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, 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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), 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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 ---------------------------------------- (159) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 374 trailing tuple parts ---------------------------------------- (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(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