/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 43 ms] (4) CpxRelTRS (5) CpxTrsToCdtProof [UPPER BOUND(ID), 6191 ms] (6) CdtProblem (7) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (8) CdtProblem (9) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (10) CdtProblem (11) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 3006 ms] (12) CdtProblem (13) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (14) CdtProblem (15) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 20.0 s] (16) CdtProblem (17) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 12.1 s] (18) CdtProblem (19) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 11.1 s] (20) CdtProblem (21) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 10.9 s] (22) CdtProblem (23) SIsEmptyProof [BOTH BOUNDS(ID, ID), 0 ms] (24) BOUNDS(1, 1) ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(x1) -> 1(x1) 0(0(x1)) -> 0(x1) 3(4(5(x1))) -> 4(3(5(x1))) 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(0(1(0(1(0(1(0(1(1(0(0(1(0(1(0(0(0(1(1(0(1(1(1(1(0(1(1(0(0(0(1(0(0(1(0(0(1(0(0(1(1(1(1(0(1(1(1(1(1(1(1(1(0(0(1(0(0(1(0(0(0(0(1(0(0(0(1(0(0(1(0(1(0(1(0(1(0(0(1(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(1(1(1(1(1(1(1(1(1(0(0(0(0(1(0(1(0(1(0(1(1(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(0(1(1(0(0(0(0(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(1(0(0(1(0(0(1(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(0(0(1(0(0(1(1(1(1(1(0(0(1(1(1(0(0(0(1(1(0(1(0(0(1(0(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(1(0(1(0(0(0(0(0(0(0(1(0(1(1(0(1(1(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(1(0(1(0(0(1(1(1(1(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(x1) -> 1(x1) 0(0(x1)) -> 0(x1) 3(4(5(x1))) -> 4(3(5(x1))) 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(0(1(0(1(0(1(0(1(1(0(0(1(0(1(0(0(0(1(1(0(1(1(1(1(0(1(1(0(0(0(1(0(0(1(0(0(1(0(0(1(1(1(1(0(1(1(1(1(1(1(1(1(0(0(1(0(0(1(0(0(0(0(1(0(0(0(1(0(0(1(0(1(0(1(0(1(0(0(1(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(1(1(1(1(1(1(1(1(1(0(0(0(0(1(0(1(0(1(0(1(1(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(0(1(1(0(0(0(0(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(1(0(0(1(0(0(1(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(0(0(1(0(0(1(1(1(1(1(0(0(1(1(1(0(0(0(1(1(0(1(0(0(1(0(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(1(0(1(0(0(0(0(0(0(0(1(0(1(1(0(1(1(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(1(0(1(0(0(1(1(1(1(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(x1) -> 1(x1) 0(0(x1)) -> 0(x1) 3(4(5(x1))) -> 4(3(5(x1))) 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(0(1(0(1(0(1(0(1(1(0(0(1(0(1(0(0(0(1(1(0(1(1(1(1(0(1(1(0(0(0(1(0(0(1(0(0(1(0(0(1(1(1(1(0(1(1(1(1(1(1(1(1(0(0(1(0(0(1(0(0(0(0(1(0(0(0(1(0(0(1(0(1(0(1(0(1(0(0(1(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(1(1(1(1(1(1(1(1(1(0(0(0(0(1(0(1(0(1(0(1(1(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(0(1(1(0(0(0(0(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(1(0(0(1(0(0(1(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(0(0(1(0(0(1(1(1(1(1(0(0(1(1(1(0(0(0(1(1(0(1(0(0(1(0(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(1(0(1(0(0(0(0(0(0(0(1(0(1(1(0(1(1(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(1(0(1(0(0(1(1(1(1(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (5) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS to CDT ---------------------------------------- (6) Obligation: Complexity Dependency Tuples Problem Rules: encArg(1(z0)) -> 1(encArg(z0)) encArg(4(z0)) -> 4(encArg(z0)) encArg(5(z0)) -> 5(encArg(z0)) encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_3(z0)) -> 3(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_3(z0) -> 3(encArg(z0)) encode_4(z0) -> 4(encArg(z0)) encode_5(z0) -> 5(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(z0) -> 1(z0) 0(0(z0)) -> 0(z0) 0(0(0(1(0(1(0(1(0(1(1(0(0(1(0(1(0(0(0(1(1(0(1(1(1(1(0(1(1(0(0(0(1(0(0(1(0(0(1(0(0(1(1(1(1(0(1(1(1(1(1(1(1(1(0(0(1(0(0(1(0(0(0(0(1(0(0(0(1(0(0(1(0(1(0(1(0(1(0(0(1(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(1(1(1(1(1(1(1(1(1(0(0(0(0(1(0(1(0(1(0(1(1(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(0(1(1(0(0(0(0(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(1(0(0(1(0(0(1(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(0(0(1(0(0(1(1(1(1(1(0(0(1(1(1(0(0(0(1(1(0(1(0(0(1(0(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(1(0(1(0(0(0(0(0(0(0(1(0(1(1(0(1(1(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(1(0(1(0(0(1(1(1(1(1(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(4(5(z0))) -> 4(3(5(z0))) 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Tuples: ENCARG(1(z0)) -> c(ENCARG(z0)) ENCARG(4(z0)) -> c1(ENCARG(z0)) ENCARG(5(z0)) -> c2(ENCARG(z0)) ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0)), ENCARG(z0)) ENCODE_1(z0) -> c7(ENCARG(z0)) ENCODE_3(z0) -> c8(3'(encArg(z0)), ENCARG(z0)) ENCODE_4(z0) -> c9(ENCARG(z0)) ENCODE_5(z0) -> c10(ENCARG(z0)) ENCODE_2(z0) -> c11(2'(encArg(z0)), ENCARG(z0)) 0'(z0) -> c12 0'(0(z0)) -> c13(0'(z0)) 0'(0(0(1(0(1(0(1(0(1(1(0(0(1(0(1(0(0(0(1(1(0(1(1(1(1(0(1(1(0(0(0(1(0(0(1(0(0(1(0(0(1(1(1(1(0(1(1(1(1(1(1(1(1(0(0(1(0(0(1(0(0(0(0(1(0(0(0(1(0(0(1(0(1(0(1(0(1(0(0(1(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(1(1(1(1(1(1(1(1(1(0(0(0(0(1(0(1(0(1(0(1(1(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(0(1(1(0(0(0(0(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(1(0(0(1(0(0(1(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(0(0(1(0(0(1(1(1(1(1(0(0(1(1(1(0(0(0(1(1(0(1(0(0(1(0(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(1(0(1(0(0(0(0(0(0(0(1(0(1(1(0(1(1(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(1(0(1(0(0(1(1(1(1(1(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c14(2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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c3_2, c4_2, c5_2, c6_2, c7_1, c8_2, c9_1, c10_1, c11_2, c12, c13_1, c14_127, c15_1, c16_162 ---------------------------------------- (7) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 5 leading nodes: ENCODE_1(z0) -> c7(ENCARG(z0)) ENCODE_4(z0) -> c9(ENCARG(z0)) ENCODE_5(z0) -> c10(ENCARG(z0)) 0'(0(z0)) -> c13(0'(z0)) 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2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(z0))))))))))), 2'(2(2(2(2(2(2(2(2(2(z0)))))))))), 2'(2(2(2(2(2(2(2(2(z0))))))))), 2'(2(2(2(2(2(2(2(z0)))))))), 2'(2(2(2(2(2(2(z0))))))), 2'(2(2(2(2(2(z0)))))), 2'(2(2(2(2(z0))))), 2'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) ---------------------------------------- (8) Obligation: Complexity Dependency Tuples Problem Rules: encArg(1(z0)) -> 1(encArg(z0)) encArg(4(z0)) -> 4(encArg(z0)) encArg(5(z0)) -> 5(encArg(z0)) encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_3(z0)) -> 3(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_3(z0) -> 3(encArg(z0)) encode_4(z0) -> 4(encArg(z0)) encode_5(z0) -> 5(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(z0) -> 1(z0) 0(0(z0)) -> 0(z0) 0(0(0(1(0(1(0(1(0(1(1(0(0(1(0(1(0(0(0(1(1(0(1(1(1(1(0(1(1(0(0(0(1(0(0(1(0(0(1(0(0(1(1(1(1(0(1(1(1(1(1(1(1(1(0(0(1(0(0(1(0(0(0(0(1(0(0(0(1(0(0(1(0(1(0(1(0(1(0(0(1(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(1(1(1(1(1(1(1(1(1(0(0(0(0(1(0(1(0(1(0(1(1(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(0(1(1(0(0(0(0(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(1(0(0(1(0(0(1(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(0(0(1(0(0(1(1(1(1(1(0(0(1(1(1(0(0(0(1(1(0(1(0(0(1(0(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(1(0(1(0(0(0(0(0(0(0(1(0(1(1(0(1(1(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(1(0(1(0(0(1(1(1(1(1(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(4(5(z0))) -> 4(3(5(z0))) 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Tuples: ENCARG(1(z0)) -> c(ENCARG(z0)) ENCARG(4(z0)) -> c1(ENCARG(z0)) ENCARG(5(z0)) -> c2(ENCARG(z0)) ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0)), ENCARG(z0)) ENCODE_3(z0) -> c8(3'(encArg(z0)), ENCARG(z0)) ENCODE_2(z0) -> c11(2'(encArg(z0)), ENCARG(z0)) 0'(z0) -> c12 3'(4(5(z0))) -> c15(3'(5(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c16(0'(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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0'(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))), 0'(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))), 0'(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))), 0'(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))), 0'(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))), 0'(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(z0))))))))))), 0'(0(1(0(1(0(0(0(0(0(z0)))))))))), 0'(1(0(1(0(0(0(0(0(z0))))))))), 0'(1(0(0(0(0(0(z0))))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) K tuples:none Defined Rule Symbols: 0_1, 3_1, 2_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_4_1, encode_5_1, encode_2_1 Defined Pair Symbols: ENCARG_1, ENCODE_0_1, ENCODE_3_1, ENCODE_2_1, 0'_1, 3'_1, 2'_1 Compound Symbols: c_1, c1_1, c2_1, c3_2, c4_2, c5_2, c6_2, c8_2, c11_2, c12, c15_1, c16_162 ---------------------------------------- (9) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (10) Obligation: Complexity Dependency Tuples Problem Rules: encArg(1(z0)) -> 1(encArg(z0)) encArg(4(z0)) -> 4(encArg(z0)) encArg(5(z0)) -> 5(encArg(z0)) encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_3(z0)) -> 3(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_3(z0) -> 3(encArg(z0)) encode_4(z0) -> 4(encArg(z0)) encode_5(z0) -> 5(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(z0) -> 1(z0) 0(0(z0)) -> 0(z0) 0(0(0(1(0(1(0(1(0(1(1(0(0(1(0(1(0(0(0(1(1(0(1(1(1(1(0(1(1(0(0(0(1(0(0(1(0(0(1(0(0(1(1(1(1(0(1(1(1(1(1(1(1(1(0(0(1(0(0(1(0(0(0(0(1(0(0(0(1(0(0(1(0(1(0(1(0(1(0(0(1(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(1(1(1(1(1(1(1(1(1(0(0(0(0(1(0(1(0(1(0(1(1(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(0(1(1(0(0(0(0(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(1(0(0(1(0(0(1(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(0(0(1(0(0(1(1(1(1(1(0(0(1(1(1(0(0(0(1(1(0(1(0(0(1(0(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(1(0(1(0(0(0(0(0(0(0(1(0(1(1(0(1(1(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(1(0(1(0(0(1(1(1(1(1(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(4(5(z0))) -> 4(3(5(z0))) 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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c(ENCARG(z0)) ENCARG(4(z0)) -> c1(ENCARG(z0)) ENCARG(5(z0)) -> c2(ENCARG(z0)) ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0)), ENCARG(z0)) ENCODE_3(z0) -> c8(3'(encArg(z0)), ENCARG(z0)) ENCODE_2(z0) -> c11(2'(encArg(z0)), ENCARG(z0)) 0'(z0) -> c12 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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0'(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))), 0'(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))), 0'(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))), 0'(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))), 0'(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))), 0'(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))), 0'(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))), 0'(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))), 0'(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(z0))))))))))), 0'(0(1(0(1(0(0(0(0(0(z0)))))))))), 0'(1(0(1(0(0(0(0(0(z0))))))))), 0'(1(0(0(0(0(0(z0))))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 3'(4(5(z0))) -> c15 K tuples:none Defined Rule Symbols: 0_1, 3_1, 2_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_4_1, encode_5_1, encode_2_1 Defined Pair Symbols: ENCARG_1, ENCODE_0_1, ENCODE_3_1, ENCODE_2_1, 0'_1, 2'_1, 3'_1 Compound Symbols: c_1, c1_1, c2_1, c3_2, c4_2, c5_2, c6_2, c8_2, c11_2, c12, c16_162, c15 ---------------------------------------- (11) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (12) Obligation: Complexity Dependency Tuples Problem Rules: encArg(1(z0)) -> 1(encArg(z0)) encArg(4(z0)) -> 4(encArg(z0)) encArg(5(z0)) -> 5(encArg(z0)) encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_3(z0)) -> 3(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_3(z0) -> 3(encArg(z0)) encode_4(z0) -> 4(encArg(z0)) encode_5(z0) -> 5(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(z0) -> 1(z0) 0(0(z0)) -> 0(z0) 0(0(0(1(0(1(0(1(0(1(1(0(0(1(0(1(0(0(0(1(1(0(1(1(1(1(0(1(1(0(0(0(1(0(0(1(0(0(1(0(0(1(1(1(1(0(1(1(1(1(1(1(1(1(0(0(1(0(0(1(0(0(0(0(1(0(0(0(1(0(0(1(0(1(0(1(0(1(0(0(1(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(1(1(1(1(1(1(1(1(1(0(0(0(0(1(0(1(0(1(0(1(1(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(0(1(1(0(0(0(0(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(1(0(0(1(0(0(1(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(0(0(1(0(0(1(1(1(1(1(0(0(1(1(1(0(0(0(1(1(0(1(0(0(1(0(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(1(0(1(0(0(0(0(0(0(0(1(0(1(1(0(1(1(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(1(0(1(0(0(1(1(1(1(1(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(4(5(z0))) -> 4(3(5(z0))) 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Tuples: ENCARG(1(z0)) -> c(ENCARG(z0)) ENCARG(4(z0)) -> c1(ENCARG(z0)) ENCARG(5(z0)) -> c2(ENCARG(z0)) ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0)) 0'(z0) -> c12 3'(4(5(z0))) -> c15 ENCODE_0(z0) -> c7(0'(encArg(z0))) ENCODE_0(z0) -> c7(ENCARG(z0)) ENCODE_3(z0) -> c7(3'(encArg(z0))) ENCODE_3(z0) -> c7(ENCARG(z0)) ENCODE_2(z0) -> c7(2'(encArg(z0))) ENCODE_2(z0) -> c7(ENCARG(z0)) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(z0)) S tuples: 0'(z0) -> c12 3'(4(5(z0))) -> c15 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2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(1(0(0(0(0(0(z0)))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(0(0(0(z0))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(0(0(0(z0)))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(z0)))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(z0)))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(z0))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(z0)))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(z0)) K tuples:none Defined Rule Symbols: 0_1, 3_1, 2_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_4_1, encode_5_1, encode_2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 3'_1, ENCODE_0_1, ENCODE_3_1, ENCODE_2_1, 2'_1 Compound Symbols: c_1, c1_1, c2_1, c3_2, c4_2, c5_2, c12, c15, c7_1 ---------------------------------------- (13) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 3 leading nodes: ENCODE_0(z0) -> c7(ENCARG(z0)) ENCODE_3(z0) -> c7(ENCARG(z0)) ENCODE_2(z0) -> c7(ENCARG(z0)) ---------------------------------------- (14) Obligation: Complexity Dependency Tuples Problem Rules: encArg(1(z0)) -> 1(encArg(z0)) encArg(4(z0)) -> 4(encArg(z0)) encArg(5(z0)) -> 5(encArg(z0)) encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_3(z0)) -> 3(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_3(z0) -> 3(encArg(z0)) encode_4(z0) -> 4(encArg(z0)) encode_5(z0) -> 5(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(z0) -> 1(z0) 0(0(z0)) -> 0(z0) 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0(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Tuples: ENCARG(1(z0)) -> c(ENCARG(z0)) ENCARG(4(z0)) -> c1(ENCARG(z0)) ENCARG(5(z0)) -> c2(ENCARG(z0)) ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0)) 0'(z0) -> c12 3'(4(5(z0))) -> c15 ENCODE_0(z0) -> c7(0'(encArg(z0))) ENCODE_3(z0) -> c7(3'(encArg(z0))) ENCODE_2(z0) -> c7(2'(encArg(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(1(0(0(0(0(0(z0)))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(0(0(0(z0))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(0(0(0(z0)))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(z0)))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(z0)))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(z0))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(z0)))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(z0)) K tuples:none Defined Rule Symbols: 0_1, 3_1, 2_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_4_1, encode_5_1, encode_2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 3'_1, ENCODE_0_1, ENCODE_3_1, ENCODE_2_1, 2'_1 Compound Symbols: c_1, c1_1, c2_1, c3_2, c4_2, c5_2, c12, c15, c7_1 ---------------------------------------- (15) CdtUsableRulesProof (BOTH BOUNDS(ID, ID)) The following rules are not usable and were removed: encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_3(z0) -> 3(encArg(z0)) encode_4(z0) -> 4(encArg(z0)) encode_5(z0) -> 5(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(0(z0)) -> 0(z0) 0(0(0(1(0(1(0(1(0(1(1(0(0(1(0(1(0(0(0(1(1(0(1(1(1(1(0(1(1(0(0(0(1(0(0(1(0(0(1(0(0(1(1(1(1(0(1(1(1(1(1(1(1(1(0(0(1(0(0(1(0(0(0(0(1(0(0(0(1(0(0(1(0(1(0(1(0(1(0(0(1(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(1(1(1(1(1(1(1(1(1(0(0(0(0(1(0(1(0(1(0(1(1(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(0(1(1(0(0(0(0(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(1(0(0(1(0(0(1(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(0(0(1(0(0(1(1(1(1(1(0(0(1(1(1(0(0(0(1(1(0(1(0(0(1(0(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(1(0(1(0(0(0(0(0(0(0(1(0(1(1(0(1(1(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(1(0(1(0(0(1(1(1(1(1(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ---------------------------------------- (16) Obligation: Complexity Dependency Tuples Problem Rules: encArg(1(z0)) -> 1(encArg(z0)) encArg(4(z0)) -> 4(encArg(z0)) encArg(5(z0)) -> 5(encArg(z0)) encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_3(z0)) -> 3(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) 0(z0) -> 1(z0) 3(4(5(z0))) -> 4(3(5(z0))) 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Tuples: ENCARG(1(z0)) -> c(ENCARG(z0)) ENCARG(4(z0)) -> c1(ENCARG(z0)) ENCARG(5(z0)) -> c2(ENCARG(z0)) ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0)) 0'(z0) -> c12 3'(4(5(z0))) -> c15 ENCODE_0(z0) -> c7(0'(encArg(z0))) ENCODE_3(z0) -> c7(3'(encArg(z0))) ENCODE_2(z0) -> c7(2'(encArg(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(1(0(0(0(0(0(z0)))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(0(0(0(z0))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(0(0(0(z0)))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(z0)))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(z0)))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(z0))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(z0)))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(z0)) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 3_1, 2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 3'_1, ENCODE_0_1, ENCODE_3_1, ENCODE_2_1, 2'_1 Compound Symbols: c_1, c1_1, c2_1, c3_2, c4_2, c5_2, c12, c15, c7_1 ---------------------------------------- (17) CdtRuleRemovalProof (UPPER BOUND(ADD(n^1))) Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S. 3'(4(5(z0))) -> c15 We considered the (Usable) Rules:none And the Tuples: ENCARG(1(z0)) -> c(ENCARG(z0)) ENCARG(4(z0)) -> c1(ENCARG(z0)) ENCARG(5(z0)) -> c2(ENCARG(z0)) ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0)) 0'(z0) -> c12 3'(4(5(z0))) -> c15 ENCODE_0(z0) -> c7(0'(encArg(z0))) ENCODE_3(z0) -> c7(3'(encArg(z0))) ENCODE_2(z0) -> c7(2'(encArg(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(1(0(0(0(0(0(z0)))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(0(0(0(z0))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(0(0(0(z0)))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(z0)))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(z0)))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(z0))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(z0)))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(z0)) The order we found is given by the following interpretation: Polynomial interpretation : POL(0(x_1)) = 0 POL(0'(x_1)) = 0 POL(1(x_1)) = [1] + x_1 POL(2(x_1)) = [1] POL(2'(x_1)) = 0 POL(3(x_1)) = [1] + x_1 POL(3'(x_1)) = [1] POL(4(x_1)) = [1] + x_1 POL(5(x_1)) = [1] + x_1 POL(ENCARG(x_1)) = x_1 POL(ENCODE_0(x_1)) = 0 POL(ENCODE_2(x_1)) = 0 POL(ENCODE_3(x_1)) = [1] POL(c(x_1)) = x_1 POL(c1(x_1)) = x_1 POL(c12) = 0 POL(c15) = 0 POL(c2(x_1)) = x_1 POL(c3(x_1, x_2)) = x_1 + x_2 POL(c4(x_1, x_2)) = x_1 + x_2 POL(c5(x_1, x_2)) = x_1 + x_2 POL(c7(x_1)) = x_1 POL(cons_0(x_1)) = [1] + x_1 POL(cons_2(x_1)) = [1] + x_1 POL(cons_3(x_1)) = [1] + x_1 POL(encArg(x_1)) = [1] + x_1 ---------------------------------------- (18) Obligation: Complexity Dependency Tuples Problem Rules: encArg(1(z0)) -> 1(encArg(z0)) encArg(4(z0)) -> 4(encArg(z0)) encArg(5(z0)) -> 5(encArg(z0)) encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_3(z0)) -> 3(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) 0(z0) -> 1(z0) 3(4(5(z0))) -> 4(3(5(z0))) 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Tuples: ENCARG(1(z0)) -> c(ENCARG(z0)) ENCARG(4(z0)) -> c1(ENCARG(z0)) ENCARG(5(z0)) -> c2(ENCARG(z0)) ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0)) 0'(z0) -> c12 3'(4(5(z0))) -> c15 ENCODE_0(z0) -> c7(0'(encArg(z0))) ENCODE_3(z0) -> c7(3'(encArg(z0))) ENCODE_2(z0) -> c7(2'(encArg(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(1(0(0(0(0(0(z0)))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(0(0(0(z0))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(0(0(0(z0)))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(z0)))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(z0)))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(z0))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(z0)))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(z0)) K tuples: 3'(4(5(z0))) -> c15 Defined Rule Symbols: encArg_1, 0_1, 3_1, 2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 3'_1, ENCODE_0_1, ENCODE_3_1, ENCODE_2_1, 2'_1 Compound Symbols: c_1, c1_1, c2_1, c3_2, c4_2, c5_2, c12, c15, c7_1 ---------------------------------------- (19) CdtRuleRemovalProof (UPPER BOUND(ADD(n^1))) Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S. 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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c7(0'(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(1(0(0(0(0(0(z0)))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(0(0(0(z0))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(0(0(0(z0)))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(z0)))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(z0)))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(z0))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(z0)))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(z0)) We considered the (Usable) Rules:none And the Tuples: ENCARG(1(z0)) -> c(ENCARG(z0)) ENCARG(4(z0)) -> c1(ENCARG(z0)) ENCARG(5(z0)) -> c2(ENCARG(z0)) ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0)) 0'(z0) -> c12 3'(4(5(z0))) -> c15 ENCODE_0(z0) -> c7(0'(encArg(z0))) ENCODE_3(z0) -> c7(3'(encArg(z0))) ENCODE_2(z0) -> c7(2'(encArg(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(1(0(0(0(0(0(z0)))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(0(0(0(z0))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(0(0(0(z0)))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(z0)))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(z0)))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(z0))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(z0)))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(z0)) The order we found is given by the following interpretation: Polynomial interpretation : POL(0(x_1)) = 0 POL(0'(x_1)) = 0 POL(1(x_1)) = [1] + x_1 POL(2(x_1)) = [1] POL(2'(x_1)) = [1] POL(3(x_1)) = [1] + x_1 POL(3'(x_1)) = [1] POL(4(x_1)) = [1] + x_1 POL(5(x_1)) = [1] + x_1 POL(ENCARG(x_1)) = x_1 POL(ENCODE_0(x_1)) = 0 POL(ENCODE_2(x_1)) = [1] POL(ENCODE_3(x_1)) = [1] + x_1 POL(c(x_1)) = x_1 POL(c1(x_1)) = x_1 POL(c12) = 0 POL(c15) = 0 POL(c2(x_1)) = x_1 POL(c3(x_1, x_2)) = x_1 + x_2 POL(c4(x_1, x_2)) = x_1 + x_2 POL(c5(x_1, x_2)) = x_1 + x_2 POL(c7(x_1)) = x_1 POL(cons_0(x_1)) = [1] + x_1 POL(cons_2(x_1)) = [1] + x_1 POL(cons_3(x_1)) = [1] + x_1 POL(encArg(x_1)) = [1] + x_1 ---------------------------------------- (20) Obligation: Complexity Dependency Tuples Problem Rules: encArg(1(z0)) -> 1(encArg(z0)) encArg(4(z0)) -> 4(encArg(z0)) encArg(5(z0)) -> 5(encArg(z0)) encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_3(z0)) -> 3(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) 0(z0) -> 1(z0) 3(4(5(z0))) -> 4(3(5(z0))) 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Tuples: ENCARG(1(z0)) -> c(ENCARG(z0)) ENCARG(4(z0)) -> c1(ENCARG(z0)) ENCARG(5(z0)) -> c2(ENCARG(z0)) ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0)) 0'(z0) -> c12 3'(4(5(z0))) -> c15 ENCODE_0(z0) -> c7(0'(encArg(z0))) ENCODE_3(z0) -> c7(3'(encArg(z0))) ENCODE_2(z0) -> c7(2'(encArg(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(1(0(0(0(0(0(z0)))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(0(0(0(z0))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(0(0(0(z0)))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(z0)))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(z0)))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(z0))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(z0)))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(z0)) Defined Rule Symbols: encArg_1, 0_1, 3_1, 2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 3'_1, ENCODE_0_1, ENCODE_3_1, ENCODE_2_1, 2'_1 Compound Symbols: c_1, c1_1, c2_1, c3_2, c4_2, c5_2, c12, c15, c7_1 ---------------------------------------- (21) CdtRuleRemovalProof (UPPER BOUND(ADD(n^1))) Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S. 0'(z0) -> c12 We considered the (Usable) Rules:none And the Tuples: ENCARG(1(z0)) -> c(ENCARG(z0)) ENCARG(4(z0)) -> c1(ENCARG(z0)) ENCARG(5(z0)) -> c2(ENCARG(z0)) ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0)) 0'(z0) -> c12 3'(4(5(z0))) -> c15 ENCODE_0(z0) -> c7(0'(encArg(z0))) ENCODE_3(z0) -> c7(3'(encArg(z0))) ENCODE_2(z0) -> c7(2'(encArg(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(1(0(0(0(0(0(z0)))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(0(0(0(z0))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(0(0(0(z0)))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(z0)))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(z0)))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(z0))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(z0)))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(z0)) The order we found is given by the following interpretation: Polynomial interpretation : POL(0(x_1)) = 0 POL(0'(x_1)) = [1] POL(1(x_1)) = [1] + x_1 POL(2(x_1)) = [1] POL(2'(x_1)) = [1] POL(3(x_1)) = [1] + x_1 POL(3'(x_1)) = [1] POL(4(x_1)) = [1] + x_1 POL(5(x_1)) = [1] + x_1 POL(ENCARG(x_1)) = x_1 POL(ENCODE_0(x_1)) = [1] POL(ENCODE_2(x_1)) = [1] + x_1 POL(ENCODE_3(x_1)) = [1] + x_1 POL(c(x_1)) = x_1 POL(c1(x_1)) = x_1 POL(c12) = 0 POL(c15) = 0 POL(c2(x_1)) = x_1 POL(c3(x_1, x_2)) = x_1 + x_2 POL(c4(x_1, x_2)) = x_1 + x_2 POL(c5(x_1, x_2)) = x_1 + x_2 POL(c7(x_1)) = x_1 POL(cons_0(x_1)) = [1] + x_1 POL(cons_2(x_1)) = [1] + x_1 POL(cons_3(x_1)) = [1] + x_1 POL(encArg(x_1)) = [1] + x_1 ---------------------------------------- (22) Obligation: Complexity Dependency Tuples Problem Rules: encArg(1(z0)) -> 1(encArg(z0)) encArg(4(z0)) -> 4(encArg(z0)) encArg(5(z0)) -> 5(encArg(z0)) encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_3(z0)) -> 3(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) 0(z0) -> 1(z0) 3(4(5(z0))) -> 4(3(5(z0))) 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Tuples: ENCARG(1(z0)) -> c(ENCARG(z0)) ENCARG(4(z0)) -> c1(ENCARG(z0)) ENCARG(5(z0)) -> c2(ENCARG(z0)) ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0)) 0'(z0) -> c12 3'(4(5(z0))) -> c15 ENCODE_0(z0) -> c7(0'(encArg(z0))) ENCODE_3(z0) -> c7(3'(encArg(z0))) ENCODE_2(z0) -> c7(2'(encArg(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(0(0(0(1(0(1(1(0(1(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(0(1(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(1(1(1(0(0(0(1(0(1(0(1(0(1(0(1(1(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(1(0(1(0(0(0(0(0(z0)))))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(1(0(0(0(0(0(z0))))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(1(0(0(0(0(0(z0)))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(0(0(0(z0))))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(0(0(0(z0)))))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(z0)))))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(z0)))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(z0))))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(z0)))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(z0))) 2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(z0)) 0'(z0) -> c12 Defined Rule Symbols: encArg_1, 0_1, 3_1, 2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 3'_1, ENCODE_0_1, ENCODE_3_1, ENCODE_2_1, 2'_1 Compound Symbols: c_1, c1_1, c2_1, c3_2, c4_2, c5_2, c12, c15, c7_1 ---------------------------------------- (23) SIsEmptyProof (BOTH BOUNDS(ID, ID)) The set S is empty ---------------------------------------- (24) BOUNDS(1, 1)